diff --git a/package.json b/package.json
index b7c85ba..172b552 100644
--- a/package.json
+++ b/package.json
@@ -16,7 +16,7 @@
     "typescript": "^5.9.3"
   },
   "devDependencies": {
-    "@antfu/eslint-config": "7.7.3",
+    "@antfu/eslint-config": "8.0.0",
     "eslint": "9.33.0",
     "eslint-plugin-format": "2.0.1",
     "markdown-it-task-lists": "2.1.1",
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 84c8238..d008b13 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -16,8 +16,8 @@ importers:
         version: 5.9.3
     devDependencies:
       '@antfu/eslint-config':
-        specifier: 7.7.3
-        version: 7.7.3(@typescript-eslint/rule-tester@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.1(typescript@5.9.3))(@typescript-eslint/utils@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@vue/compiler-sfc@3.5.27)(eslint-plugin-format@2.0.1(eslint@9.33.0(jiti@2.4.2)))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+        specifier: 8.0.0
+        version: 8.0.0(@typescript-eslint/rule-tester@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.0(typescript@5.9.3))(@typescript-eslint/utils@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@vue/compiler-sfc@3.5.27)(eslint-plugin-format@2.0.1(eslint@9.33.0(jiti@2.4.2)))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
       eslint:
         specifier: 9.33.0
         version: 9.33.0(jiti@2.4.2)
@@ -149,14 +149,14 @@ packages:
     resolution: {integrity: sha512-z1oyLq5/UVkohVXNDEY70mJbT/sv/t6HYtCvCwNrOri6pxBJDomP9R83KOlwcat+xqBQEdJHjbrPh36f1avmZA==}
     engines: {node: '>= 14.0.0'}
 
-  '@antfu/eslint-config@7.7.3':
-    resolution: {integrity: sha512-BtroDxTvmWtvr3yJkdWVCvwsKlnEdkreoeOyrdNezc/W5qaiQNf2xjcsQ3N5Yy0x27h+0WFfW8rG8YlVioG6dw==}
+  '@antfu/eslint-config@8.0.0':
+    resolution: {integrity: sha512-IKiCfsa1vRgj8srB2azqiN3nOAcVyP/TZ5Ibiz0TDW9NoQPizTvkmRTSi1vo4ax0SL9TH/8uJLK6uCfd6bQzLA==}
     hasBin: true
     peerDependencies:
       '@angular-eslint/eslint-plugin': ^21.1.0
       '@angular-eslint/eslint-plugin-template': ^21.1.0
       '@angular-eslint/template-parser': ^21.1.0
-      '@eslint-react/eslint-plugin': ^2.11.0
+      '@eslint-react/eslint-plugin': ^3.0.0
       '@next/eslint-plugin-next': '>=15.0.0'
       '@prettier/plugin-xml': ^3.4.1
       '@unocss/eslint-plugin': '>=0.50.0'
@@ -165,7 +165,6 @@ packages:
       eslint-plugin-astro: ^1.2.0
       eslint-plugin-format: '>=0.1.0'
       eslint-plugin-jsx-a11y: '>=6.10.2'
-      eslint-plugin-react-hooks: ^7.0.0
       eslint-plugin-react-refresh: ^0.5.0
       eslint-plugin-solid: ^0.14.3
       eslint-plugin-svelte: '>=2.35.1'
@@ -196,8 +195,6 @@ packages:
         optional: true
       eslint-plugin-jsx-a11y:
         optional: true
-      eslint-plugin-react-hooks:
-        optional: true
       eslint-plugin-react-refresh:
         optional: true
       eslint-plugin-solid:
@@ -267,11 +264,11 @@ packages:
   '@chevrotain/utils@11.1.2':
     resolution: {integrity: sha512-4mudFAQ6H+MqBTfqLmU7G1ZwRzCLfJEooL/fsF6rCX5eePMbGhoy5n4g+G4vlh2muDcsCTJtL+uKbOzWxs5LHA==}
 
-  '@clack/core@1.1.0':
-    resolution: {integrity: sha512-SVcm4Dqm2ukn64/8Gub2wnlA5nS2iWJyCkdNHcvNHPIeBTGojpdJ+9cZKwLfmqy7irD4N5qLteSilJlE0WLAtA==}
+  '@clack/core@1.2.0':
+    resolution: {integrity: sha512-qfxof/3T3t9DPU/Rj3OmcFyZInceqj/NVtO9rwIuJqCUgh32gwPjpFQQp/ben07qKlhpwq7GzfWpST4qdJ5Drg==}
 
-  '@clack/prompts@1.1.0':
-    resolution: {integrity: sha512-pkqbPGtohJAvm4Dphs2M8xE29ggupihHdy1x84HNojZuMtFsHiUlRvqD24tM2+XmI+61LlfNceM3Wr7U5QES5g==}
+  '@clack/prompts@1.2.0':
+    resolution: {integrity: sha512-4jmztR9fMqPMjz6H/UZXj0zEmE43ha1euENwkckKKel4XpSfokExPo5AiVStdHSAlHekz4d0CA/r45Ok1E4D3w==}
 
   '@docsearch/css@3.8.2':
     resolution: {integrity: sha512-y05ayQFyUmCXze79+56v/4HpycYF3uFqB78pLPrSV5ZKAlDuIAAJNhaRi8tTdRNXh05yxX/TyNnzD6LwSM89vQ==}
@@ -305,11 +302,11 @@ packages:
   '@dprint/toml@0.7.0':
     resolution: {integrity: sha512-eFaQTcfxKHB+YyTh83x7GEv+gDPuj9q5NFOTaoj5rZmQTbj6OgjjMxUicmS1R8zYcx8YAq5oA9J3YFa5U6x2gA==}
 
-  '@e18e/eslint-plugin@0.2.0':
-    resolution: {integrity: sha512-mXgODVwhuDjTJ+UT+XSvmMmCidtGKfrV5nMIv1UtpWex2pYLsIM3RSpT8HWIMAebS9qANbXPKlSX4BE7ZvuCgA==}
+  '@e18e/eslint-plugin@0.3.0':
+    resolution: {integrity: sha512-hHgfpxsrZ2UYHcicA+tGZnmk19uJTaye9VH79O+XS8R4ona2Hx3xjhXghclNW58uXMk3xXlbYEOMr8thsoBmWg==}
     peerDependencies:
       eslint: ^9.0.0 || ^10.0.0
-      oxlint: ^1.41.0
+      oxlint: ^1.55.0
     peerDependenciesMeta:
       eslint:
         optional: true
@@ -320,6 +317,10 @@ packages:
     resolution: {integrity: sha512-0xew1CxOam0gV5OMjh2KjFQZsKL2bByX1+q4j3E73MpYIdyUxcZb/xQct9ccUb+ve5KGUYbCUxyPnYB7RbuP+w==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
+  '@es-joy/jsdoccomment@0.86.0':
+    resolution: {integrity: sha512-ukZmRQ81WiTpDWO6D/cTBM7XbrNtutHKvAVnZN/8pldAwLoJArGOvkNyxPTBGsPjsoaQBJxlH+tE2TNA/92Qgw==}
+    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
+
   '@es-joy/resolve.exports@1.2.0':
     resolution: {integrity: sha512-Q9hjxWI5xBM+qW2enxfe8wDKdFWMfd0Z29k5ZJnuBqD/CasY5Zryj09aCA6owbGATWz+39p5uIdaHXpopOcG8g==}
     engines: {node: '>=10'}
@@ -628,8 +629,8 @@ packages:
     resolution: {integrity: sha512-EriSTlt5OC9/7SXkRSCAhfSxxoSUgBm33OH+IkwbdpgoqsSsUg7y3uh+IICI/Qg4BBWr3U2i39RpmycbxMq4ew==}
     engines: {node: ^12.0.0 || ^14.0.0 || >=16.0.0}
 
-  '@eslint/compat@2.0.3':
-    resolution: {integrity: sha512-SjIJhGigp8hmd1YGIBwh7Ovri7Kisl42GYFjrOyHhtfYGGoLW6teYi/5p8W50KSsawUPpuLOSmsq1bD0NGQLBw==}
+  '@eslint/compat@2.0.4':
+    resolution: {integrity: sha512-o598tCGstJv9Kk4XapwP+oDij9HD9Qr3V37ABzTfdzVvbFciV+sfg9zSW6olj6G/IXj7p89SwSzPnZ+JUEPIPg==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
     peerDependencies:
       eslint: ^8.40 || 9 || 10
@@ -645,20 +646,16 @@ packages:
     resolution: {integrity: sha512-xR93k9WhrDYpXHORXpxVL5oHj3Era7wo6k/Wd8/IsQNnZUTzkGS29lyn3nAT05v6ltUuTFVCCYDEGfy2Or/sPA==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
-  '@eslint/config-helpers@0.5.3':
-    resolution: {integrity: sha512-lzGN0onllOZCGroKJmRwY6QcEHxbjBw1gwB8SgRSqK8YbbtEXMvKynsXc3553ckIEBxsbMBU7oOZXKIPGZNeZw==}
+  '@eslint/config-helpers@0.5.4':
+    resolution: {integrity: sha512-jJhqiY3wPMlWWO3370M86CPJ7pt8GmEwSLglMfQhjXal07RCvhmU0as4IuUEW5SJeunfItiEetHmSxCCe9lDBg==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
   '@eslint/core@0.15.2':
     resolution: {integrity: sha512-78Md3/Rrxh83gCxoUc0EiciuOHsIITzLy53m3d9UyiW8y9Dj2D29FeETqyKA+BRK76tnTp6RXWb3pCay8Oyomg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
-  '@eslint/core@0.17.0':
-    resolution: {integrity: sha512-yL/sLrpmtDaFEiUj1osRP4TI2MDz1AddJL+jZ7KSqvBuliN4xqYY54IfdN8qD8Toa6g1iloph1fxQNkjOxrrpQ==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
-
-  '@eslint/core@1.1.1':
-    resolution: {integrity: sha512-QUPblTtE51/7/Zhfv8BDwO0qkkzQL7P/aWWbqcf4xWLEYn1oKjdO0gglQBB4GAsu7u6wjijbCmzsUTy6mnk6oQ==}
+  '@eslint/core@1.2.0':
+    resolution: {integrity: sha512-8FTGbNzTvmSlc4cZBaShkC6YvFMG0riksYWRFKXztqVdXaQbcZLXlFbSpC05s70sGEsXAw0qwhx69JiW7hQS7A==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
   '@eslint/eslintrc@3.3.3':
@@ -669,9 +666,9 @@ packages:
     resolution: {integrity: sha512-5K1/mKhWaMfreBGJTwval43JJmkip0RmM+3+IuqupeSKNC/Th2Kc7ucaq5ovTSra/OOKB9c58CGSz3QMVbWt0A==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
-  '@eslint/markdown@7.5.1':
-    resolution: {integrity: sha512-R8uZemG9dKTbru/DQRPblbJyXpObwKzo8rv1KYGGuPUPtjM4LXBYM9q5CIZAComzZupws3tWbDwam5AFpPLyJQ==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+  '@eslint/markdown@8.0.1':
+    resolution: {integrity: sha512-WWKmld/EyNdEB8GMq7JMPX1SDWgyJAM1uhtCi5ySrqYQM4HQjmg11EX/q3ZpnpRXHfdccFtli3NBvvGaYjWyQw==}
+    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
   '@eslint/object-schema@2.1.7':
     resolution: {integrity: sha512-VtAOaymWVfZcmZbp6E2mympDIHvyjXs/12LqWYjVw6qjrfF+VK+fyG33kChz3nnK+SU5/NeHOqrTEHS8sXO3OA==}
@@ -681,10 +678,6 @@ packages:
     resolution: {integrity: sha512-Z5kJ+wU3oA7MMIqVR9tyZRtjYPr4OC004Q4Rw7pgOKUOKkJfZ3O24nz3WYfGRpMDNmcOi3TwQOmgm7B7Tpii0w==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
-  '@eslint/plugin-kit@0.4.1':
-    resolution: {integrity: sha512-43/qtrDUokr7LJqoF2c3+RInu/t4zfrpYdoSDfYyhg52rwLV6TnOvdG4fXm7IkSB3wErkcmJS9iEhjVtOSEjjA==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
-
   '@eslint/plugin-kit@0.6.1':
     resolution: {integrity: sha512-iH1B076HoAshH1mLpHMgwdGeTs0CYwL0SPMkGuSebZrwBp16v415e9NZXg2jtrqPVQjf6IANe2Vtlr5KswtcZQ==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
@@ -1248,6 +1241,9 @@ packages:
   '@types/json-schema@7.0.15':
     resolution: {integrity: sha512-5+fP8P8MFNC+AyZCDxrB2pkZFPGzqQWUzpSeuuVLvm8VMcorNYavBqoFcxK8bQz4Qsbn4oUEEem4wDLfcysGHA==}
 
+  '@types/katex@0.16.8':
+    resolution: {integrity: sha512-trgaNyfU+Xh2Tc+ABIb44a5AYUpicB3uwirOioeOkNPPbmgRNtcWyDeeFRzjPZENO9Vq8gvVqfhaaXWLlevVwg==}
+
   '@types/linkify-it@5.0.0':
     resolution: {integrity: sha512-sVDA58zAw4eWAffKOaQH5/5j3XeayukzDk+ewSsnv3p4yJEZHCCzMDiZM8e0OUrRvmpGZ85jf4yDHkHsgBNr9Q==}
 
@@ -1278,13 +1274,13 @@ packages:
   '@types/web-bluetooth@0.0.21':
     resolution: {integrity: sha512-oIQLCGWtcFZy2JW77j9k8nHzAOpqMHLQejDA48XXMWH6tjCQHz5RCFz1bzsmROyL6PUm+LLnUiI4BCn221inxA==}
 
-  '@typescript-eslint/eslint-plugin@8.57.1':
-    resolution: {integrity: sha512-Gn3aqnvNl4NGc6x3/Bqk1AOn0thyTU9bqDRhiRnUWezgvr2OnhYCWCgC8zXXRVqBsIL1pSDt7T9nJUe0oM0kDQ==}
+  '@typescript-eslint/eslint-plugin@8.58.0':
+    resolution: {integrity: sha512-RLkVSiNuUP1C2ROIWfqX+YcUfLaSnxGE/8M+Y57lopVwg9VTYYfhuz15Yf1IzCKgZj6/rIbYTmJCUSqr76r0Wg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      '@typescript-eslint/parser': ^8.57.1
+      '@typescript-eslint/parser': ^8.58.0
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/parser@8.57.1':
     resolution: {integrity: sha512-k4eNDan0EIMTT/dUKc/g+rsJ6wcHYhNPdY19VoX/EOtaAG8DLtKCykhrUnuHPYvinn5jhAPgD2Qw9hXBwrahsw==}
@@ -1293,12 +1289,25 @@ packages:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
       typescript: '>=4.8.4 <6.0.0'
 
+  '@typescript-eslint/parser@8.58.0':
+    resolution: {integrity: sha512-rLoGZIf9afaRBYsPUMtvkDWykwXwUPL60HebR4JgTI8mxfFe2cQTu3AGitANp4b9B2QlVru6WzjgB2IzJKiCSA==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
+      typescript: '>=4.8.4 <6.1.0'
+
   '@typescript-eslint/project-service@8.57.1':
     resolution: {integrity: sha512-vx1F37BRO1OftsYlmG9xay1TqnjNVlqALymwWVuYTdo18XuKxtBpCj1QlzNIEHlvlB27osvXFWptYiEWsVdYsg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
+  '@typescript-eslint/project-service@8.58.0':
+    resolution: {integrity: sha512-8Q/wBPWLQP1j16NxoPNIKpDZFMaxl7yWIoqXWYeWO+Bbd2mjgvoF0dxP2jKZg5+x49rgKdf7Ck473M8PC3V9lg==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      typescript: '>=4.8.4 <6.1.0'
+
   '@typescript-eslint/rule-tester@8.57.1':
     resolution: {integrity: sha512-gk0q0rLa7a1uEB0iD2t1GZELK1z6HfudiKYeSVhjQ5gW5FdL0OcZ+8f09Lg7NbmHSBF3V+S9BDuw0qoCFkHR+w==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
@@ -1309,29 +1318,49 @@ packages:
     resolution: {integrity: sha512-hs/QcpCwlwT2L5S+3fT6gp0PabyGk4Q0Rv2doJXA0435/OpnSR3VRgvrp8Xdoc3UAYSg9cyUjTeFXZEPg/3OKg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
+  '@typescript-eslint/scope-manager@8.58.0':
+    resolution: {integrity: sha512-W1Lur1oF50FxSnNdGp3Vs6P+yBRSmZiw4IIjEeYxd8UQJwhUF0gDgDD/W/Tgmh73mxgEU3qX0Bzdl/NGuSPEpQ==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+
   '@typescript-eslint/tsconfig-utils@8.57.1':
     resolution: {integrity: sha512-0lgOZB8cl19fHO4eI46YUx2EceQqhgkPSuCGLlGi79L2jwYY1cxeYc1Nae8Aw1xjgW3PKVDLlr3YJ6Bxx8HkWg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/type-utils@8.57.1':
-    resolution: {integrity: sha512-+Bwwm0ScukFdyoJsh2u6pp4S9ktegF98pYUU0hkphOOqdMB+1sNQhIz8y5E9+4pOioZijrkfNO/HUJVAFFfPKA==}
+  '@typescript-eslint/tsconfig-utils@8.58.0':
+    resolution: {integrity: sha512-doNSZEVJsWEu4htiVC+PR6NpM+pa+a4ClH9INRWOWCUzMst/VA9c4gXq92F8GUD1rwhNvRLkgjfYtFXegXQF7A==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      typescript: '>=4.8.4 <6.1.0'
+
+  '@typescript-eslint/type-utils@8.58.0':
+    resolution: {integrity: sha512-aGsCQImkDIqMyx1u4PrVlbi/krmDsQUs4zAcCV6M7yPcPev+RqVlndsJy9kJ8TLihW9TZ0kbDAzctpLn5o+lOg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/types@8.57.1':
     resolution: {integrity: sha512-S29BOBPJSFUiblEl6RzPPjJt6w25A6XsBqRVDt53tA/tlL8q7ceQNZHTjPeONt/3S7KRI4quk+yP9jK2WjBiPQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
+  '@typescript-eslint/types@8.58.0':
+    resolution: {integrity: sha512-O9CjxypDT89fbHxRfETNoAnHj/i6IpRK0CvbVN3qibxlLdo5p5hcLmUuCCrHMpxiWSwKyI8mCP7qRNYuOJ0Uww==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+
   '@typescript-eslint/typescript-estree@8.57.1':
     resolution: {integrity: sha512-ybe2hS9G6pXpqGtPli9Gx9quNV0TWLOmh58ADlmZe9DguLq0tiAKVjirSbtM1szG6+QH6rVXyU6GTLQbWnMY+g==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
+  '@typescript-eslint/typescript-estree@8.58.0':
+    resolution: {integrity: sha512-7vv5UWbHqew/dvs+D3e1RvLv1v2eeZ9txRHPnEEBUgSNLx5ghdzjHa0sgLWYVKssH+lYmV0JaWdoubo0ncGYLA==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      typescript: '>=4.8.4 <6.1.0'
+
   '@typescript-eslint/utils@8.57.1':
     resolution: {integrity: sha512-XUNSJ/lEVFttPMMoDVA2r2bwrl8/oPx8cURtczkSEswY5T3AeLmCy+EKWQNdL4u0MmAHOjcWrqJp2cdvgjn8dQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
@@ -1339,10 +1368,21 @@ packages:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
       typescript: '>=4.8.4 <6.0.0'
 
+  '@typescript-eslint/utils@8.58.0':
+    resolution: {integrity: sha512-RfeSqcFeHMHlAWzt4TBjWOAtoW9lnsAGiP3GbaX9uVgTYYrMbVnGONEfUCiSss+xMHFl+eHZiipmA8WkQ7FuNA==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
+      typescript: '>=4.8.4 <6.1.0'
+
   '@typescript-eslint/visitor-keys@8.57.1':
     resolution: {integrity: sha512-YWnmJkXbofiz9KbnbbwuA2rpGkFPLbAIetcCNO6mJ8gdhdZ/v7WDXsoGFAJuM6ikUFKTlSQnjWnVO4ux+UzS6A==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
+  '@typescript-eslint/visitor-keys@8.58.0':
+    resolution: {integrity: sha512-XJ9UD9+bbDo4a4epraTwG3TsNPeiB9aShrUneAVXy8q4LuwowN+qu89/6ByLMINqvIMeI9H9hOHQtg/ijrYXzQ==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+
   '@ungap/structured-clone@1.2.1':
     resolution: {integrity: sha512-fEzPV3hSkSMltkw152tJKNARhOupqbH96MZWyRjNaYZOMIzbrTeQDG+MTc6Mr2pgzFQzFxAfmhGDNP5QK++2ZA==}
 
@@ -1366,8 +1406,8 @@ packages:
       vite: ^5.0.0 || ^6.0.0
       vue: ^3.2.25
 
-  '@vitest/eslint-plugin@1.6.13':
-    resolution: {integrity: sha512-ui7JGWBoQpS5NKKW0FDb1eTuFEZ5EupEv2Psemuyfba7DfA5K52SeDLelt6P4pQJJ/4UGkker/BgMk/KrjH3WQ==}
+  '@vitest/eslint-plugin@1.6.14':
+    resolution: {integrity: sha512-PXZ5ysw4eHU9h8nDtBvVcGC7Z2C/T9CFdheqSw1NNXFYqViojub0V9bgdYI67iBTOcra2mwD0EYldlY9bGPf2Q==}
     engines: {node: '>=18'}
     peerDependencies:
       '@typescript-eslint/eslint-plugin': '*'
@@ -1610,8 +1650,8 @@ packages:
     resolution: {integrity: sha512-BLrgEcRTwX2o6gGxGOCNyMvGSp35YofuYzw9h1IMTRmKqttAZZVU67bdb9Pr2vUHA8+j3i2tJfjO6C6+4myGTA==}
     engines: {node: 18 || 20 || >=22}
 
-  baseline-browser-mapping@2.10.10:
-    resolution: {integrity: sha512-sUoJ3IMxx4AyRqO4MLeHlnGDkyXRoUG0/AI9fjK+vS72ekpV0yWVY7O0BVjmBcRtkNcsAO2QDZ4tdKKGoI6YaQ==}
+  baseline-browser-mapping@2.10.15:
+    resolution: {integrity: sha512-1nfKCq9wuAZFTkA2ey/3OXXx7GzFjLdkTiFVNwlJ9WqdI706CZRIhEqjuwanjMIja+84jDLa9rcyZDPDiVkASQ==}
     engines: {node: '>=6.0.0'}
     hasBin: true
 
@@ -1627,12 +1667,12 @@ packages:
   brace-expansion@1.1.12:
     resolution: {integrity: sha512-9T9UjW3r0UW5c1Q7GTwllptXwhvYmEzFhzMfZ9H7FQWt+uZePjZPjBP/W1ZEyZ1twGWom5/56TF4lPcqjnDHcg==}
 
-  brace-expansion@5.0.4:
-    resolution: {integrity: sha512-h+DEnpVvxmfVefa4jFbCf5HdH5YMDXRsmKflpf1pILZWRFlTbJpxeU55nJl4Smt5HQaGzg1o6RHFPJaOqnmBDg==}
+  brace-expansion@5.0.5:
+    resolution: {integrity: sha512-VZznLgtwhn+Mact9tfiwx64fA9erHH/MCXEUfB/0bX/6Fz6ny5EGTXYltMocqg4xFAQZtnO3DHWWXi8RiuN7cQ==}
     engines: {node: 18 || 20 || >=22}
 
-  browserslist@4.28.1:
-    resolution: {integrity: sha512-ZC5Bd0LgJXgwGqUknZY/vkUQ04r8NXnJZ3yYi4vDmSiZmC/pdSN0NbNRPxZpbtO4uAfDUAFffO8IZoM3Gj8IkA==}
+  browserslist@4.28.2:
+    resolution: {integrity: sha512-48xSriZYYg+8qXna9kwqjIVzuQxi+KYWp2+5nCYnYKPTr0LvD89Jqk2Or5ogxz0NUMfIjhh2lIUX/LyX9B4oIg==}
     engines: {node: ^6 || ^7 || ^8 || ^9 || ^10 || ^11 || ^12 || >=13.7}
     hasBin: true
 
@@ -1665,8 +1705,8 @@ packages:
     resolution: {integrity: sha512-P8BjAsXvZS+VIDUI11hHCQEv74YT67YUi5JJFNWIqL235sBmjX4+qx9Muvls5ivyNENctx46xQLQ3aTuE7ssaQ==}
     engines: {node: '>=6'}
 
-  caniuse-lite@1.0.30001781:
-    resolution: {integrity: sha512-RdwNCyMsNBftLjW6w01z8bKEvT6e/5tpPVEgtn22TiLGlstHOVecsX2KHFkD5e/vRnIE4EGzpuIODb3mtswtkw==}
+  caniuse-lite@1.0.30001786:
+    resolution: {integrity: sha512-4oxTZEvqmLLrERwxO76yfKM7acZo310U+v4kqexI2TL1DkkUEMT8UijrxxcnVdxR3qkVf5awGRX+4Z6aPHVKrA==}
 
   ccount@2.0.1:
     resolution: {integrity: sha512-eyrF0jiFpY+3drT6383f1qhkbGsLSifNAjA61IUjZjmLCWjItY6LB9ft9YhoDgwfmclB2zhu51Lc7+95b8NRAg==}
@@ -1736,6 +1776,10 @@ packages:
     resolution: {integrity: sha512-aRDkn3uyIlCFfk5NUA+VdwMmMsh8JGhc4hapfV4yxymHGQ3BVskMQfoXGpCo5IoBuQ9tS5iiVKhCpTcB4pW4qw==}
     engines: {node: '>= 12.0.0'}
 
+  comment-parser@1.4.6:
+    resolution: {integrity: sha512-ObxuY6vnbWTN6Od72xfwN9DbzC7Y2vv8u1Soi9ahRKL37gb6y1qk6/dgjs+3JWuXJHWvsg3BXIwzd/rkmAwavg==}
+    engines: {node: '>= 12.0.0'}
+
   concat-map@0.0.1:
     resolution: {integrity: sha512-/Srv4dswyQNBfohGpz9o6Yb3Gz3SrUDqBH5rTuhGR7ahtlbYKnVxw2bCFMRljaA7EXHaXZ8wsHdodFvbkhKmqg==}
 
@@ -1985,8 +2029,8 @@ packages:
     resolution: {integrity: sha512-47qPchRCykZC03FhkYAhrvwU4xDBFIj1QPqaarj6mdM/hgUzfPHcpkHJOn3mJAufFeeAxAzeGsr5X0M4k6fLZQ==}
     engines: {node: '>=12'}
 
-  electron-to-chromium@1.5.321:
-    resolution: {integrity: sha512-L2C7Q279W2D/J4PLZLk7sebOILDSWos7bMsMNN06rK482umHUrh/3lM8G7IlHFOYip2oAg5nha1rCMxr/rs6ZQ==}
+  electron-to-chromium@1.5.331:
+    resolution: {integrity: sha512-IbxXrsTlD3hRodkLnbxAPP4OuJYdWCeM3IOdT+CpcMoIwIoDfCmRpEtSPfwBXxVkg9xmBeY7Lz2Eo2TDn/HC3Q==}
 
   emoji-regex-xs@1.0.0:
     resolution: {integrity: sha512-LRlerrMYoIDrT6jgpeZ2YYl/L8EulRTt5hQcYjy5AInh7HWXKimpqx68aknBFpGL2+/IcogTcaydJEgaTmOpDg==}
@@ -2039,13 +2083,13 @@ packages:
     peerDependencies:
       eslint: '>=6.0.0'
 
-  eslint-config-flat-gitignore@2.2.1:
-    resolution: {integrity: sha512-wA5EqN0era7/7Gt5Botlsfin/UNY0etJSEeBgbUlFLFrBi47rAN//+39fI7fpYcl8RENutlFtvp/zRa/M/pZNg==}
+  eslint-config-flat-gitignore@2.3.0:
+    resolution: {integrity: sha512-bg4ZLGgoARg1naWfsINUUb/52Ksw/K22K+T16D38Y8v+/sGwwIYrGvH/JBjOin+RQtxxC9tzNNiy4shnGtGyyQ==}
     peerDependencies:
       eslint: ^9.5.0 || ^10.0.0
 
-  eslint-flat-config-utils@3.0.2:
-    resolution: {integrity: sha512-mPvevWSDQFwgABvyCurwIu6ZdKxGI5NW22/BGDwA1T49NO6bXuxbV9VfJK/tkQoNyPogT6Yu1d57iM0jnZVWmg==}
+  eslint-flat-config-utils@3.1.0:
+    resolution: {integrity: sha512-lM+Nwo2CzpuTS/RASQExlEIwk/BQoKqJWX6VbDlLMb/mveqvt9MMrRXFEkG3bseuK6g8noKZLeX82epkILtv4A==}
 
   eslint-formatting-reporter@0.0.0:
     resolution: {integrity: sha512-k9RdyTqxqN/wNYVaTk/ds5B5rA8lgoAmvceYN7bcZMBwU7TuXx5ntewJv81eF3pIL/CiJE+pJZm36llG8yhyyw==}
@@ -2100,14 +2144,14 @@ packages:
     peerDependencies:
       eslint: ^8.40.0 || ^9.0.0 || ^10.0.0
 
-  eslint-plugin-import-lite@0.5.2:
-    resolution: {integrity: sha512-XvfdWOC5dSLEI9krIPRlNmKSI2ViIE9pVylzfV9fCq0ZpDaNeUk6o0wZv0OzN83QdadgXp1NsY0qjLINxwYCsw==}
+  eslint-plugin-import-lite@0.6.0:
+    resolution: {integrity: sha512-80vevx2A7i3H7n1/6pqDO8cc5wRz6OwLDvIyVl9UflBV1N1f46e9Ihzi65IOLYoSxM6YykK2fTw1xm0Ixx6aTQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      eslint: '>=9.0.0'
+      eslint: ^9.0.0 || ^10.0.0
 
-  eslint-plugin-jsdoc@62.8.0:
-    resolution: {integrity: sha512-hu3r9/6JBmPG6wTcqtYzgZAnjEG2eqRUATfkFscokESg1VDxZM21ZaMire0KjeMwfj+SXvgB4Rvh5LBuesj92w==}
+  eslint-plugin-jsdoc@62.9.0:
+    resolution: {integrity: sha512-PY7/X4jrVgoIDncUmITlUqK546Ltmx/Pd4Hdsu4CvSjryQZJI2mEV4vrdMufyTetMiZ5taNSqvK//BTgVUlNkA==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
     peerDependencies:
       eslint: ^7.0.0 || ^8.0.0 || ^9.0.0 || ^10.0.0
@@ -2128,8 +2172,8 @@ packages:
     resolution: {integrity: sha512-brcKcxGnISN2CcVhXJ/kEQlNa0MEfGRtwKtWA16SkqXHKitaKIMrfemJKLKX1YqDU5C/5JY3PvZXd5jEW04e0Q==}
     engines: {node: '>=5.0.0'}
 
-  eslint-plugin-perfectionist@5.7.0:
-    resolution: {integrity: sha512-WRHj7OZS/INutQ/gKN5C1ZGnMhkQ3oKZQAA2I7rl5yM8keBtSd9oj/qlJaHuwh5873FhMPqYlttcadF0YsTN7g==}
+  eslint-plugin-perfectionist@5.8.0:
+    resolution: {integrity: sha512-k8uIptWIxkUclonCFGyDzgYs9NI+Qh0a7cUXS3L7IYZDEsjXuimFBVbxXPQQngWqMiaxJRwbtYB4smMGMqF+cw==}
     engines: {node: ^20.0.0 || >=22.0.0}
     peerDependencies:
       eslint: ^8.45.0 || ^9.0.0 || ^10.0.0
@@ -2151,8 +2195,8 @@ packages:
     peerDependencies:
       eslint: '>=9.38.0'
 
-  eslint-plugin-unicorn@63.0.0:
-    resolution: {integrity: sha512-Iqecl9118uQEXYh7adylgEmGfkn5es3/mlQTLLkd4pXkIk9CTGrAbeUux+YljSa2ohXCBmQQ0+Ej1kZaFgcfkA==}
+  eslint-plugin-unicorn@64.0.0:
+    resolution: {integrity: sha512-rNZwalHh8i0UfPlhNwg5BTUO1CMdKNmjqe+TgzOTZnpKoi8VBgsW7u9qCHIdpxEzZ1uwrJrPF0uRb7l//K38gA==}
     engines: {node: ^20.10.0 || >=21.0.0}
     peerDependencies:
       eslint: '>=9.38.0'
@@ -2268,6 +2312,15 @@ packages:
   fast-levenshtein@2.0.6:
     resolution: {integrity: sha512-DCXu6Ifhqcks7TZKY3Hxp3y6qphY5SJZmrWMDrKcERSOXWQdMhU9Ig/PYrzyw/ul9jOIyh0N4M0tbC5hodg8dw==}
 
+  fast-string-truncated-width@1.2.1:
+    resolution: {integrity: sha512-Q9acT/+Uu3GwGj+5w/zsGuQjh9O1TyywhIwAxHudtWrgF09nHOPrvTLhQevPbttcxjr/SNN7mJmfOw/B1bXgow==}
+
+  fast-string-width@1.1.0:
+    resolution: {integrity: sha512-O3fwIVIH5gKB38QNbdg+3760ZmGz0SZMgvwJbA1b2TGXceKE6A2cOlfogh1iw8lr049zPyd7YADHy+B7U4W9bQ==}
+
+  fast-wrap-ansi@0.1.6:
+    resolution: {integrity: sha512-HlUwET7a5gqjURj70D5jl7aC3Zmy4weA1SHUfM0JFI0Ptq987NH2TwbBFLoERhfwk+E+eaq4EK3jXoT+R3yp3w==}
+
   fault@2.0.1:
     resolution: {integrity: sha512-WtySTkS4OKev5JtpHXnib4Gxiurzh5NCGvWrFaZ34m6JehfTUhKZvn9njTfw48t6JumVQOmrKqpmGcdwxnhqBQ==}
 
@@ -2352,10 +2405,6 @@ packages:
     resolution: {integrity: sha512-7ACyT3wmyp3I61S4fG682L0VA2RGD9otkqGJIwNUMF1SWUombIIk+af1unuDYgMm082aHYwD+mzJvv9Iu8dsgg==}
     engines: {node: '>=18'}
 
-  globals@16.5.0:
-    resolution: {integrity: sha512-c/c15i26VrJ4IRt5Z89DnIzCGDn9EcebibhAOjw5ibqEHsE1wLUgkPn9RDmNcUKyU87GeaL633nyJ+pplFR2ZQ==}
-    engines: {node: '>=18'}
-
   globals@17.4.0:
     resolution: {integrity: sha512-hjrNztw/VajQwOLsMNT1cbJiH2muO3OROCHnbehc8eY5JyD2gqz4AcMHPqgaOR59DjgUjYAYLeH699g/eWi2jw==}
     engines: {node: '>=18'}
@@ -2472,6 +2521,10 @@ packages:
     resolution: {integrity: sha512-/2uqY7x6bsrpi3i9LVU6J89352C0rpMk0as8trXxCtvd4kPk1ke/Eyif6wqfSLvoNJqcDG9Vk4UsXgygzCt2xA==}
     engines: {node: '>=20.0.0'}
 
+  jsdoc-type-pratt-parser@7.2.0:
+    resolution: {integrity: sha512-dh140MMgjyg3JhJZY/+iEzW+NO5xR2gpbDFKHqotCmexElVntw7GjWjt511+C/Ef02RU5TKYrJo/Xlzk+OLaTw==}
+    engines: {node: '>=20.0.0'}
+
   jsesc@3.1.0:
     resolution: {integrity: sha512-/sM3dO2FOzXjKQhJuo0Q173wf2KOo8t4I8vHy6lF9poUp7bKT0/NHE8fPX23PwfhnykfqnC2xRxOnVw5XuGIaA==}
     engines: {node: '>=6'}
@@ -2497,6 +2550,10 @@ packages:
     resolution: {integrity: sha512-EkxoDTk8ufHqHlf9QxGwcxeLkWRR3iOuYfRpfORgYfqc8s13bgb+YtRY59NK5ZpRaCwq1kqA6a5lpX8C/eLphQ==}
     hasBin: true
 
+  katex@0.16.45:
+    resolution: {integrity: sha512-pQpZbdBu7wCTmQUh7ufPmLr0pFoObnGUoL/yhtwJDgmmQpbkg/0HSVti25Fu4rmd1oCR6NGWe9vqTWuWv3GcNA==}
+    hasBin: true
+
   keyv@4.5.4:
     resolution: {integrity: sha512-oxVHkHR/EJf2CNXnWxRLW6mg7JyCCUcG0DtEGmL2ctUo1PNTin1PUil+r/+4r5MpVgC/fn1kjsx7mjSujKqIpw==}
 
@@ -2585,6 +2642,9 @@ packages:
   mdast-util-gfm@3.1.0:
     resolution: {integrity: sha512-0ulfdQOM3ysHhCJ1p06l0b0VKlhU0wuQs3thxZQagjcjPrlFRqY215uZGHHJan9GEAXd9MbfPjFJz+qMkVR6zQ==}
 
+  mdast-util-math@3.0.0:
+    resolution: {integrity: sha512-Tl9GBNeG/AhJnQM221bJR2HPvLOSnLE/T9cJI9tlc6zwQk2nPk/4f0cHkOdEixQPC/j8UtKDdITswvLAy1OZ1w==}
+
   mdast-util-phrasing@4.1.0:
     resolution: {integrity: sha512-TqICwyvJJpBwvGAMZjj4J2n0X8QWp21b9l0o7eXyVJ25YNWYbJDVIyD1bZXE6WtV6RmKJVYmQAKWa0zWOABz2w==}
 
@@ -2633,6 +2693,9 @@ packages:
   micromark-extension-gfm@3.0.0:
     resolution: {integrity: sha512-vsKArQsicm7t0z2GugkCKtZehqUm31oeGBV/KVSorWSy8ZlNAv7ytjFhvaryUiCUJYqs+NoE6AFhpQvBTM6Q4w==}
 
+  micromark-extension-math@3.1.0:
+    resolution: {integrity: sha512-lvEqd+fHjATVs+2v/8kg9i5Q0AP2k85H0WUOwpIVvUML8BapsMvh1XAogmQjOCsLpoKRCVQqEkQBB3NhVBcsOg==}
+
   micromark-factory-destination@2.0.1:
     resolution: {integrity: sha512-Xe6rDdJlkmbFRExpTOmRj9N3MaWmbAgdpSrBQvCFqhezUn4AHqJHbaEnfbVYYiexVSs//tqOdY/DxhjdCiJnIA==}
 
@@ -2697,8 +2760,8 @@ packages:
     resolution: {integrity: sha512-vqiC06CuhBTUdZH+RYl8sFrL096vA45Ok5ISO6sE/Mr1jRbGH4Csnhi8f3wKVl7x8mO4Au7Ir9D3Oyv1VYMFJw==}
     engines: {node: '>=12'}
 
-  minimatch@10.2.4:
-    resolution: {integrity: sha512-oRjTw/97aTBN0RHbYCdtF1MQfvusSIBQM0IZEgzl6426+8jSC0nF1a/GmnVLpfB9yyr6g6FTqWqiZVbxrtaCIg==}
+  minimatch@10.2.5:
+    resolution: {integrity: sha512-MULkVLfKGYDFYejP07QOurDLLQpcjk7Fw+7jXS2R2czRQzR56yHRveU5NDJEOviH+hETZKSkIk5c+T23GjFUMg==}
     engines: {node: 18 || 20 || >=22}
 
   minimatch@3.1.2:
@@ -2762,8 +2825,8 @@ packages:
   node-fetch-native@1.6.4:
     resolution: {integrity: sha512-IhOigYzAKHd244OC0JIMIUrjzctirCmPkaIfhDeGcEETWof5zKYUW7e7MYvChGWh/4CJeXEgsRyGzuF334rOOQ==}
 
-  node-releases@2.0.36:
-    resolution: {integrity: sha512-TdC8FSgHz8Mwtw9g5L4gR/Sh9XhSP/0DEkQxfEFXOpiul5IiHgHan2VhYYb6agDSfp4KuvltmGApc8HMgUrIkA==}
+  node-releases@2.0.37:
+    resolution: {integrity: sha512-1h5gKZCF+pO/o3Iqt5Jp7wc9rH3eJJ0+nh/CIoiRwjRxde/hAHyLPXYN4V3CqKAbiZPSeJFSWHmJsbkicta0Eg==}
 
   non-layered-tidy-tree-layout@2.0.2:
     resolution: {integrity: sha512-gkXMxRzUH+PB0ax9dUN0yYF0S25BqeAYqhgMaLUFmpXLEk7Fcu8f4emJuOAY0V8kjDICxROIKsTAKsV/v355xw==}
@@ -2870,8 +2933,8 @@ packages:
     resolution: {integrity: sha512-M7BAV6Rlcy5u+m6oPhAPFgJTzAioX/6B0DxyvDlo9l8+T3nLKbrczg2WLUyzd45L8RqfUMyGPzekbMvX2Ldkwg==}
     engines: {node: '>=12'}
 
-  picomatch@4.0.3:
-    resolution: {integrity: sha512-5gTmgEY/sqK6gFXLIsQNH19lWb4ebPDLA4SdLP7dsWkIXHWlG66oPuVvXSGFPppYZz8ZDZq0dYYrbHfBCVUb1Q==}
+  picomatch@4.0.4:
+    resolution: {integrity: sha512-QP88BAKvMam/3NxH6vj2o21R6MjxZUAd6nlwAS/pnGvN9IVLocLHxGYIzFhg6fUQ+5th6P4dv4eW9jX3DSIj7A==}
     engines: {node: '>=12'}
 
   pkg-types@1.3.1:
@@ -2972,8 +3035,8 @@ packages:
     resolution: {integrity: sha512-iETxpjK6YoRWJG5o6hXLwvjYAoW+FEZn9os0PD/b6AP6xQwsa/Y7lCVgIixBbUPMfhu+i2LtdeAqVTgGlQarfA==}
     hasBin: true
 
-  regjsparser@0.13.0:
-    resolution: {integrity: sha512-NZQZdC5wOE/H3UT28fVGL+ikOZcEzfMGk/c3iN9UGxzWHMa1op7274oyiUVrAG4B2EuFhus8SvkaYnhvW92p9Q==}
+  regjsparser@0.13.1:
+    resolution: {integrity: sha512-dLsljMd9sqwRkby8zhO1gSg3PnJIBFid8f4CQj/sXx+7cKx+E7u0PKhZ+U4wmhx7EfmtvnA318oVaIkAB1lRJw==}
     hasBin: true
 
   reserved-identifiers@1.2.0:
@@ -3110,8 +3173,8 @@ packages:
   tabbable@6.4.0:
     resolution: {integrity: sha512-05PUHKSNE8ou2dwIxTngl4EzcnsCDZGJ/iCLtDflR/SHB/ny14rXc+qU5P4mG9JkusiV7EivzY9Mhm55AzAvCg==}
 
-  tapable@2.3.0:
-    resolution: {integrity: sha512-g9ljZiwki/LfxmQADO3dEY1CbpmXT5Hm2fJ+QaGKwSXUylMybePR7/67YW7jOrrvjEgL1Fmz5kzyAjWVWLlucg==}
+  tapable@2.3.2:
+    resolution: {integrity: sha512-1MOpMXuhGzGL5TTCZFItxCc0AARf1EZFQkGqMm7ERKj8+Hgr5oLvJOVFcC+lRmR8hCe2S3jC4T5D7Vg/d7/fhA==}
     engines: {node: '>=6'}
 
   tar@6.2.1:
@@ -3199,6 +3262,9 @@ packages:
   unist-util-position@5.0.0:
     resolution: {integrity: sha512-fucsC7HjXvkB5R3kTCO7kUjRdrS0BJt3M/FPxmHMBOm8JQi2BsHAHFsy27E0EolP8rp0NzXsJ+jNPyDWvOJZPA==}
 
+  unist-util-remove-position@5.0.0:
+    resolution: {integrity: sha512-Hp5Kh3wLxv0PHj9m2yZhhLt58KzPtEYKQQ4yxfYFEO7EvHwzyDYnduhHnY1mDxoqr7VUwVuHXk9RXKIiYS1N8Q==}
+
   unist-util-stringify-position@4.0.0:
     resolution: {integrity: sha512-0ASV06AAoKCDkS2+xw5RXJywruurpbC4JZSm7nr7MOt1ojAzvyyaO+UxZf18j8FCF6kmzCZKcAgN/yu2gm2XgQ==}
 
@@ -3567,37 +3633,37 @@ snapshots:
     dependencies:
       '@algolia/client-common': 5.47.0
 
-  '@antfu/eslint-config@7.7.3(@typescript-eslint/rule-tester@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.1(typescript@5.9.3))(@typescript-eslint/utils@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@vue/compiler-sfc@3.5.27)(eslint-plugin-format@2.0.1(eslint@9.33.0(jiti@2.4.2)))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)':
+  '@antfu/eslint-config@8.0.0(@typescript-eslint/rule-tester@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.0(typescript@5.9.3))(@typescript-eslint/utils@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@vue/compiler-sfc@3.5.27)(eslint-plugin-format@2.0.1(eslint@9.33.0(jiti@2.4.2)))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)':
     dependencies:
       '@antfu/install-pkg': 1.1.0
-      '@clack/prompts': 1.1.0
-      '@e18e/eslint-plugin': 0.2.0(eslint@9.33.0(jiti@2.4.2))
+      '@clack/prompts': 1.2.0
+      '@e18e/eslint-plugin': 0.3.0(eslint@9.33.0(jiti@2.4.2))
       '@eslint-community/eslint-plugin-eslint-comments': 4.7.1(eslint@9.33.0(jiti@2.4.2))
-      '@eslint/markdown': 7.5.1
+      '@eslint/markdown': 8.0.1
       '@stylistic/eslint-plugin': 5.10.0(eslint@9.33.0(jiti@2.4.2))
-      '@typescript-eslint/eslint-plugin': 8.57.1(@typescript-eslint/parser@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
-      '@typescript-eslint/parser': 8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
-      '@vitest/eslint-plugin': 1.6.13(@typescript-eslint/eslint-plugin@8.57.1(@typescript-eslint/parser@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/eslint-plugin': 8.58.0(@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/parser': 8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@vitest/eslint-plugin': 1.6.14(@typescript-eslint/eslint-plugin@8.58.0(@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
       ansis: 4.2.0
       cac: 7.0.0
       eslint: 9.33.0(jiti@2.4.2)
-      eslint-config-flat-gitignore: 2.2.1(eslint@9.33.0(jiti@2.4.2))
-      eslint-flat-config-utils: 3.0.2
+      eslint-config-flat-gitignore: 2.3.0(eslint@9.33.0(jiti@2.4.2))
+      eslint-flat-config-utils: 3.1.0
       eslint-merge-processors: 2.0.0(eslint@9.33.0(jiti@2.4.2))
       eslint-plugin-antfu: 3.2.2(eslint@9.33.0(jiti@2.4.2))
-      eslint-plugin-command: 3.5.2(@typescript-eslint/rule-tester@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.1(typescript@5.9.3))(@typescript-eslint/utils@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))
-      eslint-plugin-import-lite: 0.5.2(eslint@9.33.0(jiti@2.4.2))
-      eslint-plugin-jsdoc: 62.8.0(eslint@9.33.0(jiti@2.4.2))
+      eslint-plugin-command: 3.5.2(@typescript-eslint/rule-tester@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.0(typescript@5.9.3))(@typescript-eslint/utils@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))
+      eslint-plugin-import-lite: 0.6.0(eslint@9.33.0(jiti@2.4.2))
+      eslint-plugin-jsdoc: 62.9.0(eslint@9.33.0(jiti@2.4.2))
       eslint-plugin-jsonc: 3.1.2(eslint@9.33.0(jiti@2.4.2))
       eslint-plugin-n: 17.24.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
       eslint-plugin-no-only-tests: 3.3.0
-      eslint-plugin-perfectionist: 5.7.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      eslint-plugin-perfectionist: 5.8.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
       eslint-plugin-pnpm: 1.6.0(eslint@9.33.0(jiti@2.4.2))
       eslint-plugin-regexp: 3.1.0(eslint@9.33.0(jiti@2.4.2))
       eslint-plugin-toml: 1.3.1(eslint@9.33.0(jiti@2.4.2))
-      eslint-plugin-unicorn: 63.0.0(eslint@9.33.0(jiti@2.4.2))
-      eslint-plugin-unused-imports: 4.4.1(@typescript-eslint/eslint-plugin@8.57.1(@typescript-eslint/parser@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))
-      eslint-plugin-vue: 10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@9.33.0(jiti@2.4.2)))(@typescript-eslint/parser@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(vue-eslint-parser@10.4.0(eslint@9.33.0(jiti@2.4.2)))
+      eslint-plugin-unicorn: 64.0.0(eslint@9.33.0(jiti@2.4.2))
+      eslint-plugin-unused-imports: 4.4.1(@typescript-eslint/eslint-plugin@8.58.0(@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))
+      eslint-plugin-vue: 10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@9.33.0(jiti@2.4.2)))(@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(vue-eslint-parser@10.4.0(eslint@9.33.0(jiti@2.4.2)))
       eslint-plugin-yml: 3.3.1(eslint@9.33.0(jiti@2.4.2))
       eslint-processor-vue-blocks: 2.0.0(@vue/compiler-sfc@3.5.27)(eslint@9.33.0(jiti@2.4.2))
       globals: 17.4.0
@@ -3670,13 +3736,16 @@ snapshots:
 
   '@chevrotain/utils@11.1.2': {}
 
-  '@clack/core@1.1.0':
+  '@clack/core@1.2.0':
     dependencies:
+      fast-wrap-ansi: 0.1.6
       sisteransi: 1.0.5
 
-  '@clack/prompts@1.1.0':
+  '@clack/prompts@1.2.0':
     dependencies:
-      '@clack/core': 1.1.0
+      '@clack/core': 1.2.0
+      fast-string-width: 1.1.0
+      fast-wrap-ansi: 0.1.6
       sisteransi: 1.0.5
 
   '@docsearch/css@3.8.2': {}
@@ -3709,7 +3778,7 @@ snapshots:
 
   '@dprint/toml@0.7.0': {}
 
-  '@e18e/eslint-plugin@0.2.0(eslint@9.33.0(jiti@2.4.2))':
+  '@e18e/eslint-plugin@0.3.0(eslint@9.33.0(jiti@2.4.2))':
     dependencies:
       eslint-plugin-depend: 1.5.0(eslint@9.33.0(jiti@2.4.2))
     optionalDependencies:
@@ -3718,11 +3787,19 @@ snapshots:
   '@es-joy/jsdoccomment@0.84.0':
     dependencies:
       '@types/estree': 1.0.8
-      '@typescript-eslint/types': 8.57.1
+      '@typescript-eslint/types': 8.58.0
       comment-parser: 1.4.5
       esquery: 1.7.0
       jsdoc-type-pratt-parser: 7.1.1
 
+  '@es-joy/jsdoccomment@0.86.0':
+    dependencies:
+      '@types/estree': 1.0.8
+      '@typescript-eslint/types': 8.58.0
+      comment-parser: 1.4.6
+      esquery: 1.7.0
+      jsdoc-type-pratt-parser: 7.2.0
+
   '@es-joy/resolve.exports@1.2.0': {}
 
   '@esbuild/aix-ppc64@0.21.5':
@@ -3882,9 +3959,9 @@ snapshots:
 
   '@eslint-community/regexpp@4.12.2': {}
 
-  '@eslint/compat@2.0.3(eslint@9.33.0(jiti@2.4.2))':
+  '@eslint/compat@2.0.4(eslint@9.33.0(jiti@2.4.2))':
     dependencies:
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.0
     optionalDependencies:
       eslint: 9.33.0(jiti@2.4.2)
 
@@ -3898,19 +3975,15 @@ snapshots:
 
   '@eslint/config-helpers@0.3.1': {}
 
-  '@eslint/config-helpers@0.5.3':
+  '@eslint/config-helpers@0.5.4':
     dependencies:
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.0
 
   '@eslint/core@0.15.2':
     dependencies:
       '@types/json-schema': 7.0.15
 
-  '@eslint/core@0.17.0':
-    dependencies:
-      '@types/json-schema': 7.0.15
-
-  '@eslint/core@1.1.1':
+  '@eslint/core@1.2.0':
     dependencies:
       '@types/json-schema': 7.0.15
 
@@ -3930,16 +4003,18 @@ snapshots:
 
   '@eslint/js@9.33.0': {}
 
-  '@eslint/markdown@7.5.1':
+  '@eslint/markdown@8.0.1':
     dependencies:
-      '@eslint/core': 0.17.0
-      '@eslint/plugin-kit': 0.4.1
+      '@eslint/core': 1.2.0
+      '@eslint/plugin-kit': 0.6.1
       github-slugger: 2.0.0
       mdast-util-from-markdown: 2.0.3
       mdast-util-frontmatter: 2.0.1
       mdast-util-gfm: 3.1.0
+      mdast-util-math: 3.0.0
       micromark-extension-frontmatter: 2.0.0
       micromark-extension-gfm: 3.0.0
+      micromark-extension-math: 3.1.0
       micromark-util-normalize-identifier: 2.0.1
     transitivePeerDependencies:
       - supports-color
@@ -3951,14 +4026,9 @@ snapshots:
       '@eslint/core': 0.15.2
       levn: 0.4.1
 
-  '@eslint/plugin-kit@0.4.1':
-    dependencies:
-      '@eslint/core': 0.17.0
-      levn: 0.4.1
-
   '@eslint/plugin-kit@0.6.1':
     dependencies:
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.0
       levn: 0.4.1
 
   '@humanfs/core@0.19.1': {}
@@ -4289,12 +4359,12 @@ snapshots:
   '@stylistic/eslint-plugin@5.10.0(eslint@9.33.0(jiti@2.4.2))':
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@9.33.0(jiti@2.4.2))
-      '@typescript-eslint/types': 8.57.1
+      '@typescript-eslint/types': 8.58.0
       eslint: 9.33.0(jiti@2.4.2)
       eslint-visitor-keys: 4.2.1
       espree: 10.4.0
       estraverse: 5.3.0
-      picomatch: 4.0.3
+      picomatch: 4.0.4
 
   '@types/d3-array@3.2.2': {}
 
@@ -4431,6 +4501,8 @@ snapshots:
 
   '@types/json-schema@7.0.15': {}
 
+  '@types/katex@0.16.8': {}
+
   '@types/linkify-it@5.0.0': {}
 
   '@types/markdown-it@14.1.2':
@@ -4459,14 +4531,14 @@ snapshots:
 
   '@types/web-bluetooth@0.0.21': {}
 
-  '@typescript-eslint/eslint-plugin@8.57.1(@typescript-eslint/parser@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)':
+  '@typescript-eslint/eslint-plugin@8.58.0(@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)':
     dependencies:
       '@eslint-community/regexpp': 4.12.2
-      '@typescript-eslint/parser': 8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
-      '@typescript-eslint/scope-manager': 8.57.1
-      '@typescript-eslint/type-utils': 8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
-      '@typescript-eslint/utils': 8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
-      '@typescript-eslint/visitor-keys': 8.57.1
+      '@typescript-eslint/parser': 8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/scope-manager': 8.58.0
+      '@typescript-eslint/type-utils': 8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/visitor-keys': 8.58.0
       eslint: 9.33.0(jiti@2.4.2)
       ignore: 7.0.5
       natural-compare: 1.4.0
@@ -4487,10 +4559,31 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  '@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)':
+    dependencies:
+      '@typescript-eslint/scope-manager': 8.58.0
+      '@typescript-eslint/types': 8.58.0
+      '@typescript-eslint/typescript-estree': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/visitor-keys': 8.58.0
+      debug: 4.4.3
+      eslint: 9.33.0(jiti@2.4.2)
+      typescript: 5.9.3
+    transitivePeerDependencies:
+      - supports-color
+
   '@typescript-eslint/project-service@8.57.1(typescript@5.9.3)':
     dependencies:
-      '@typescript-eslint/tsconfig-utils': 8.57.1(typescript@5.9.3)
-      '@typescript-eslint/types': 8.57.1
+      '@typescript-eslint/tsconfig-utils': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/types': 8.58.0
+      debug: 4.4.3
+      typescript: 5.9.3
+    transitivePeerDependencies:
+      - supports-color
+
+  '@typescript-eslint/project-service@8.58.0(typescript@5.9.3)':
+    dependencies:
+      '@typescript-eslint/tsconfig-utils': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/types': 8.58.0
       debug: 4.4.3
       typescript: 5.9.3
     transitivePeerDependencies:
@@ -4515,15 +4608,24 @@ snapshots:
       '@typescript-eslint/types': 8.57.1
       '@typescript-eslint/visitor-keys': 8.57.1
 
+  '@typescript-eslint/scope-manager@8.58.0':
+    dependencies:
+      '@typescript-eslint/types': 8.58.0
+      '@typescript-eslint/visitor-keys': 8.58.0
+
   '@typescript-eslint/tsconfig-utils@8.57.1(typescript@5.9.3)':
     dependencies:
       typescript: 5.9.3
 
-  '@typescript-eslint/type-utils@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)':
+  '@typescript-eslint/tsconfig-utils@8.58.0(typescript@5.9.3)':
     dependencies:
-      '@typescript-eslint/types': 8.57.1
-      '@typescript-eslint/typescript-estree': 8.57.1(typescript@5.9.3)
-      '@typescript-eslint/utils': 8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      typescript: 5.9.3
+
+  '@typescript-eslint/type-utils@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)':
+    dependencies:
+      '@typescript-eslint/types': 8.58.0
+      '@typescript-eslint/typescript-estree': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
       debug: 4.4.3
       eslint: 9.33.0(jiti@2.4.2)
       ts-api-utils: 2.5.0(typescript@5.9.3)
@@ -4533,6 +4635,8 @@ snapshots:
 
   '@typescript-eslint/types@8.57.1': {}
 
+  '@typescript-eslint/types@8.58.0': {}
+
   '@typescript-eslint/typescript-estree@8.57.1(typescript@5.9.3)':
     dependencies:
       '@typescript-eslint/project-service': 8.57.1(typescript@5.9.3)
@@ -4540,7 +4644,22 @@ snapshots:
       '@typescript-eslint/types': 8.57.1
       '@typescript-eslint/visitor-keys': 8.57.1
       debug: 4.4.3
-      minimatch: 10.2.4
+      minimatch: 10.2.5
+      semver: 7.7.4
+      tinyglobby: 0.2.15
+      ts-api-utils: 2.5.0(typescript@5.9.3)
+      typescript: 5.9.3
+    transitivePeerDependencies:
+      - supports-color
+
+  '@typescript-eslint/typescript-estree@8.58.0(typescript@5.9.3)':
+    dependencies:
+      '@typescript-eslint/project-service': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/tsconfig-utils': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/types': 8.58.0
+      '@typescript-eslint/visitor-keys': 8.58.0
+      debug: 4.4.3
+      minimatch: 10.2.5
       semver: 7.7.4
       tinyglobby: 0.2.15
       ts-api-utils: 2.5.0(typescript@5.9.3)
@@ -4559,11 +4678,27 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  '@typescript-eslint/utils@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)':
+    dependencies:
+      '@eslint-community/eslint-utils': 4.9.1(eslint@9.33.0(jiti@2.4.2))
+      '@typescript-eslint/scope-manager': 8.58.0
+      '@typescript-eslint/types': 8.58.0
+      '@typescript-eslint/typescript-estree': 8.58.0(typescript@5.9.3)
+      eslint: 9.33.0(jiti@2.4.2)
+      typescript: 5.9.3
+    transitivePeerDependencies:
+      - supports-color
+
   '@typescript-eslint/visitor-keys@8.57.1':
     dependencies:
       '@typescript-eslint/types': 8.57.1
       eslint-visitor-keys: 5.0.1
 
+  '@typescript-eslint/visitor-keys@8.58.0':
+    dependencies:
+      '@typescript-eslint/types': 8.58.0
+      eslint-visitor-keys: 5.0.1
+
   '@ungap/structured-clone@1.2.1': {}
 
   '@ungap/structured-clone@1.3.0': {}
@@ -4583,13 +4718,13 @@ snapshots:
       vite: 5.4.21(@types/node@22.10.7)
       vue: 3.5.27(typescript@5.9.3)
 
-  '@vitest/eslint-plugin@1.6.13(@typescript-eslint/eslint-plugin@8.57.1(@typescript-eslint/parser@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)':
+  '@vitest/eslint-plugin@1.6.14(@typescript-eslint/eslint-plugin@8.58.0(@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)':
     dependencies:
-      '@typescript-eslint/scope-manager': 8.57.1
-      '@typescript-eslint/utils': 8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/scope-manager': 8.58.0
+      '@typescript-eslint/utils': 8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
       eslint: 9.33.0(jiti@2.4.2)
     optionalDependencies:
-      '@typescript-eslint/eslint-plugin': 8.57.1(@typescript-eslint/parser@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/eslint-plugin': 8.58.0(@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
       typescript: 5.9.3
     transitivePeerDependencies:
       - supports-color
@@ -4856,7 +4991,7 @@ snapshots:
 
   balanced-match@4.0.4: {}
 
-  baseline-browser-mapping@2.10.10: {}
+  baseline-browser-mapping@2.10.15: {}
 
   birpc@0.2.19: {}
 
@@ -4869,17 +5004,17 @@ snapshots:
       balanced-match: 1.0.2
       concat-map: 0.0.1
 
-  brace-expansion@5.0.4:
+  brace-expansion@5.0.5:
     dependencies:
       balanced-match: 4.0.4
 
-  browserslist@4.28.1:
+  browserslist@4.28.2:
     dependencies:
-      baseline-browser-mapping: 2.10.10
-      caniuse-lite: 1.0.30001781
-      electron-to-chromium: 1.5.321
-      node-releases: 2.0.36
-      update-browserslist-db: 1.2.3(browserslist@4.28.1)
+      baseline-browser-mapping: 2.10.15
+      caniuse-lite: 1.0.30001786
+      electron-to-chromium: 1.5.331
+      node-releases: 2.0.37
+      update-browserslist-db: 1.2.3(browserslist@4.28.2)
 
   builtin-modules@5.0.0: {}
 
@@ -4919,7 +5054,7 @@ snapshots:
 
   callsites@3.1.0: {}
 
-  caniuse-lite@1.0.30001781: {}
+  caniuse-lite@1.0.30001786: {}
 
   ccount@2.0.1: {}
 
@@ -4980,6 +5115,8 @@ snapshots:
 
   comment-parser@1.4.5: {}
 
+  comment-parser@1.4.6: {}
+
   concat-map@0.0.1: {}
 
   confbox@0.1.8: {}
@@ -4998,7 +5135,7 @@ snapshots:
 
   core-js-compat@3.49.0:
     dependencies:
-      browserslist: 4.28.1
+      browserslist: 4.28.2
 
   cose-base@1.0.3:
     dependencies:
@@ -5240,7 +5377,7 @@ snapshots:
 
   dotenv@16.4.7: {}
 
-  electron-to-chromium@1.5.321: {}
+  electron-to-chromium@1.5.331: {}
 
   emoji-regex-xs@1.0.0: {}
 
@@ -5249,7 +5386,7 @@ snapshots:
   enhanced-resolve@5.20.1:
     dependencies:
       graceful-fs: 4.2.11
-      tapable: 2.3.0
+      tapable: 2.3.2
 
   entities@4.5.0: {}
 
@@ -5322,14 +5459,14 @@ snapshots:
       eslint: 9.33.0(jiti@2.4.2)
       semver: 7.7.4
 
-  eslint-config-flat-gitignore@2.2.1(eslint@9.33.0(jiti@2.4.2)):
+  eslint-config-flat-gitignore@2.3.0(eslint@9.33.0(jiti@2.4.2)):
     dependencies:
-      '@eslint/compat': 2.0.3(eslint@9.33.0(jiti@2.4.2))
+      '@eslint/compat': 2.0.4(eslint@9.33.0(jiti@2.4.2))
       eslint: 9.33.0(jiti@2.4.2)
 
-  eslint-flat-config-utils@3.0.2:
+  eslint-flat-config-utils@3.1.0:
     dependencies:
-      '@eslint/config-helpers': 0.5.3
+      '@eslint/config-helpers': 0.5.4
       pathe: 2.0.3
 
   eslint-formatting-reporter@0.0.0(eslint@9.33.0(jiti@2.4.2)):
@@ -5353,12 +5490,12 @@ snapshots:
     dependencies:
       eslint: 9.33.0(jiti@2.4.2)
 
-  eslint-plugin-command@3.5.2(@typescript-eslint/rule-tester@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.57.1(typescript@5.9.3))(@typescript-eslint/utils@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2)):
+  eslint-plugin-command@3.5.2(@typescript-eslint/rule-tester@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(@typescript-eslint/typescript-estree@8.58.0(typescript@5.9.3))(@typescript-eslint/utils@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2)):
     dependencies:
       '@es-joy/jsdoccomment': 0.84.0
       '@typescript-eslint/rule-tester': 8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
-      '@typescript-eslint/typescript-estree': 8.57.1(typescript@5.9.3)
-      '@typescript-eslint/utils': 8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/typescript-estree': 8.58.0(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
       eslint: 9.33.0(jiti@2.4.2)
 
   eslint-plugin-depend@1.5.0(eslint@9.33.0(jiti@2.4.2)):
@@ -5388,16 +5525,16 @@ snapshots:
       prettier: 3.8.1
       synckit: 0.11.12
 
-  eslint-plugin-import-lite@0.5.2(eslint@9.33.0(jiti@2.4.2)):
+  eslint-plugin-import-lite@0.6.0(eslint@9.33.0(jiti@2.4.2)):
     dependencies:
       eslint: 9.33.0(jiti@2.4.2)
 
-  eslint-plugin-jsdoc@62.8.0(eslint@9.33.0(jiti@2.4.2)):
+  eslint-plugin-jsdoc@62.9.0(eslint@9.33.0(jiti@2.4.2)):
     dependencies:
-      '@es-joy/jsdoccomment': 0.84.0
+      '@es-joy/jsdoccomment': 0.86.0
       '@es-joy/resolve.exports': 1.2.0
       are-docs-informative: 0.0.2
-      comment-parser: 1.4.5
+      comment-parser: 1.4.6
       debug: 4.4.3
       escape-string-regexp: 4.0.0
       eslint: 9.33.0(jiti@2.4.2)
@@ -5415,7 +5552,7 @@ snapshots:
   eslint-plugin-jsonc@3.1.2(eslint@9.33.0(jiti@2.4.2)):
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@9.33.0(jiti@2.4.2))
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.0
       '@eslint/plugin-kit': 0.6.1
       '@ota-meshi/ast-token-store': 0.3.0
       diff-sequences: 29.6.3
@@ -5444,9 +5581,9 @@ snapshots:
 
   eslint-plugin-no-only-tests@3.3.0: {}
 
-  eslint-plugin-perfectionist@5.7.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3):
+  eslint-plugin-perfectionist@5.8.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3):
     dependencies:
-      '@typescript-eslint/utils': 8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/utils': 8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
       eslint: 9.33.0(jiti@2.4.2)
       natural-orderby: 5.0.0
     transitivePeerDependencies:
@@ -5468,16 +5605,16 @@ snapshots:
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@9.33.0(jiti@2.4.2))
       '@eslint-community/regexpp': 4.12.2
-      comment-parser: 1.4.5
+      comment-parser: 1.4.6
       eslint: 9.33.0(jiti@2.4.2)
-      jsdoc-type-pratt-parser: 7.1.1
+      jsdoc-type-pratt-parser: 7.2.0
       refa: 0.12.1
       regexp-ast-analysis: 0.7.1
       scslre: 0.3.0
 
   eslint-plugin-toml@1.3.1(eslint@9.33.0(jiti@2.4.2)):
     dependencies:
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.0
       '@eslint/plugin-kit': 0.6.1
       '@ota-meshi/ast-token-store': 0.3.0
       debug: 4.4.3
@@ -5486,7 +5623,7 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  eslint-plugin-unicorn@63.0.0(eslint@9.33.0(jiti@2.4.2)):
+  eslint-plugin-unicorn@64.0.0(eslint@9.33.0(jiti@2.4.2)):
     dependencies:
       '@babel/helper-validator-identifier': 7.28.5
       '@eslint-community/eslint-utils': 4.9.1(eslint@9.33.0(jiti@2.4.2))
@@ -5496,23 +5633,23 @@ snapshots:
       core-js-compat: 3.49.0
       eslint: 9.33.0(jiti@2.4.2)
       find-up-simple: 1.0.1
-      globals: 16.5.0
+      globals: 17.4.0
       indent-string: 5.0.0
       is-builtin-module: 5.0.0
       jsesc: 3.1.0
       pluralize: 8.0.0
       regexp-tree: 0.1.27
-      regjsparser: 0.13.0
+      regjsparser: 0.13.1
       semver: 7.7.4
       strip-indent: 4.1.1
 
-  eslint-plugin-unused-imports@4.4.1(@typescript-eslint/eslint-plugin@8.57.1(@typescript-eslint/parser@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2)):
+  eslint-plugin-unused-imports@4.4.1(@typescript-eslint/eslint-plugin@8.58.0(@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2)):
     dependencies:
       eslint: 9.33.0(jiti@2.4.2)
     optionalDependencies:
-      '@typescript-eslint/eslint-plugin': 8.57.1(@typescript-eslint/parser@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/eslint-plugin': 8.58.0(@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
 
-  eslint-plugin-vue@10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@9.33.0(jiti@2.4.2)))(@typescript-eslint/parser@8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(vue-eslint-parser@10.4.0(eslint@9.33.0(jiti@2.4.2))):
+  eslint-plugin-vue@10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@9.33.0(jiti@2.4.2)))(@typescript-eslint/parser@8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3))(eslint@9.33.0(jiti@2.4.2))(vue-eslint-parser@10.4.0(eslint@9.33.0(jiti@2.4.2))):
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@9.33.0(jiti@2.4.2))
       eslint: 9.33.0(jiti@2.4.2)
@@ -5524,11 +5661,11 @@ snapshots:
       xml-name-validator: 4.0.0
     optionalDependencies:
       '@stylistic/eslint-plugin': 5.10.0(eslint@9.33.0(jiti@2.4.2))
-      '@typescript-eslint/parser': 8.57.1(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
+      '@typescript-eslint/parser': 8.58.0(eslint@9.33.0(jiti@2.4.2))(typescript@5.9.3)
 
   eslint-plugin-yml@3.3.1(eslint@9.33.0(jiti@2.4.2)):
     dependencies:
-      '@eslint/core': 1.1.1
+      '@eslint/core': 1.2.0
       '@eslint/plugin-kit': 0.6.1
       '@ota-meshi/ast-token-store': 0.3.0
       debug: 4.4.3
@@ -5653,6 +5790,16 @@ snapshots:
 
   fast-levenshtein@2.0.6: {}
 
+  fast-string-truncated-width@1.2.1: {}
+
+  fast-string-width@1.1.0:
+    dependencies:
+      fast-string-truncated-width: 1.2.1
+
+  fast-wrap-ansi@0.1.6:
+    dependencies:
+      fast-string-width: 1.1.0
+
   fault@2.0.1:
     dependencies:
       format: 0.2.2
@@ -5661,9 +5808,9 @@ snapshots:
     optionalDependencies:
       picomatch: 4.0.2
 
-  fdir@6.5.0(picomatch@4.0.3):
+  fdir@6.5.0(picomatch@4.0.4):
     optionalDependencies:
-      picomatch: 4.0.3
+      picomatch: 4.0.4
 
   file-entry-cache@8.0.0:
     dependencies:
@@ -5727,8 +5874,6 @@ snapshots:
 
   globals@15.15.0: {}
 
-  globals@16.5.0: {}
-
   globals@17.4.0: {}
 
   globrex@0.1.2: {}
@@ -5834,6 +5979,8 @@ snapshots:
 
   jsdoc-type-pratt-parser@7.1.1: {}
 
+  jsdoc-type-pratt-parser@7.2.0: {}
+
   jsesc@3.1.0: {}
 
   json-buffer@3.0.1: {}
@@ -5854,6 +6001,10 @@ snapshots:
     dependencies:
       commander: 8.3.0
 
+  katex@0.16.45:
+    dependencies:
+      commander: 8.3.0
+
   keyv@4.5.4:
     dependencies:
       json-buffer: 3.0.1
@@ -6003,6 +6154,18 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  mdast-util-math@3.0.0:
+    dependencies:
+      '@types/hast': 3.0.4
+      '@types/mdast': 4.0.4
+      devlop: 1.1.0
+      longest-streak: 3.1.0
+      mdast-util-from-markdown: 2.0.3
+      mdast-util-to-markdown: 2.1.2
+      unist-util-remove-position: 5.0.0
+    transitivePeerDependencies:
+      - supports-color
+
   mdast-util-phrasing@4.1.0:
     dependencies:
       '@types/mdast': 4.0.4
@@ -6158,6 +6321,16 @@ snapshots:
       micromark-util-combine-extensions: 2.0.1
       micromark-util-types: 2.0.2
 
+  micromark-extension-math@3.1.0:
+    dependencies:
+      '@types/katex': 0.16.8
+      devlop: 1.1.0
+      katex: 0.16.45
+      micromark-factory-space: 2.0.1
+      micromark-util-character: 2.1.1
+      micromark-util-symbol: 2.0.1
+      micromark-util-types: 2.0.2
+
   micromark-factory-destination@2.0.1:
     dependencies:
       micromark-util-character: 2.1.1
@@ -6274,9 +6447,9 @@ snapshots:
 
   mimic-fn@4.0.0: {}
 
-  minimatch@10.2.4:
+  minimatch@10.2.5:
     dependencies:
-      brace-expansion: 5.0.4
+      brace-expansion: 5.0.5
 
   minimatch@3.1.2:
     dependencies:
@@ -6329,7 +6502,7 @@ snapshots:
 
   node-fetch-native@1.6.4: {}
 
-  node-releases@2.0.36: {}
+  node-releases@2.0.37: {}
 
   non-layered-tidy-tree-layout@2.0.2:
     optional: true
@@ -6450,7 +6623,7 @@ snapshots:
 
   picomatch@4.0.2: {}
 
-  picomatch@4.0.3: {}
+  picomatch@4.0.4: {}
 
   pkg-types@1.3.1:
     dependencies:
@@ -6554,7 +6727,7 @@ snapshots:
 
   regexp-tree@0.1.27: {}
 
-  regjsparser@0.13.0:
+  regjsparser@0.13.1:
     dependencies:
       jsesc: 3.1.0
 
@@ -6727,7 +6900,7 @@ snapshots:
 
   tabbable@6.4.0: {}
 
-  tapable@2.3.0: {}
+  tapable@2.3.2: {}
 
   tar@6.2.1:
     dependencies:
@@ -6749,8 +6922,8 @@ snapshots:
 
   tinyglobby@0.2.15:
     dependencies:
-      fdir: 6.5.0(picomatch@4.0.3)
-      picomatch: 4.0.3
+      fdir: 6.5.0(picomatch@4.0.4)
+      picomatch: 4.0.4
 
   tinypool@2.1.0: {}
 
@@ -6771,7 +6944,7 @@ snapshots:
 
   ts-declaration-location@1.0.7(typescript@5.9.3):
     dependencies:
-      picomatch: 4.0.3
+      picomatch: 4.0.4
       typescript: 5.9.3
 
   ts-dedent@2.2.0: {}
@@ -6804,6 +6977,11 @@ snapshots:
     dependencies:
       '@types/unist': 3.0.3
 
+  unist-util-remove-position@5.0.0:
+    dependencies:
+      '@types/unist': 3.0.3
+      unist-util-visit: 5.1.0
+
   unist-util-stringify-position@4.0.0:
     dependencies:
       '@types/unist': 3.0.3
@@ -6830,9 +7008,9 @@ snapshots:
       unist-util-is: 6.0.1
       unist-util-visit-parents: 6.0.2
 
-  update-browserslist-db@1.2.3(browserslist@4.28.1):
+  update-browserslist-db@1.2.3(browserslist@4.28.2):
     dependencies:
-      browserslist: 4.28.1
+      browserslist: 4.28.2
       escalade: 3.2.0
       picocolors: 1.1.1