build: update lana-docs-site deps and migrate deprecated config

- @docusaurus/* 3.8.1 → 3.9.2
- @easyops-cn/docusaurus-search-local 0.52.1 → 0.55.1
- @mdx-js/react 3.1.0 → 3.1.1
- react, react-dom 19.1.1 → 19.2.4
- Migrate onBrokenMarkdownLinks to markdown.hooks (deprecated in 3.9)

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

Author: lukecotter

lana-docs-site/docusaurus.config.ts

@@ -26,7 +26,11 @@ const config: Config = {
   organizationName: organizationName, // Usually your GitHub org/user name.
   projectName: projectName, // Usually your repo name.
   onBrokenLinks: 'throw',
-  onBrokenMarkdownLinks: 'warn',
+  markdown: {
+    hooks: {
+      onBrokenMarkdownLinks: 'warn',
+    },
+  },
   trailingSlash: false,
   // Even if you don't use internationalization, you can use this field to set
   // useful metadata like html lang. For example, if your site is Chinese, you

lana-docs-site/package.json

@@ -15,15 +15,15 @@
     "typecheck": "tsc"
   },
   "dependencies": {
-    "@docusaurus/core": "^3.8.1",
-    "@docusaurus/faster": "^3.8.1",
-    "@docusaurus/preset-classic": "^3.8.1",
-    "@easyops-cn/docusaurus-search-local": "^0.52.1",
-    "@mdx-js/react": "^3.1.0",
+    "@docusaurus/core": "^3.9.2",
+    "@docusaurus/faster": "^3.9.2",
+    "@docusaurus/preset-classic": "^3.9.2",
+    "@easyops-cn/docusaurus-search-local": "^0.55.1",
+    "@mdx-js/react": "^3.1.1",
     "clsx": "^2.1.1",
     "prism-react-renderer": "^2.4.1",
-    "react": "^19.1.1",
-    "react-dom": "^19.1.1"
+    "react": "^19.2.4",
+    "react-dom": "^19.2.4"
   },
   "devDependencies": {
     "@docusaurus/module-type-aliases": "^3.9.2",