chore(deps): bump lighthouse to 13.1.0 (#1825)

Changelog
https://github.com/GoogleChrome/lighthouse/blob/main/changelog.md

Author: OrKoN

CONTRIBUTING.md

@@ -60,6 +60,13 @@ version, [search for a PR titled `chore(main): release chrome-devtools-mcp`](htt
 and review, test, and land it. The release PR is automatically opened if there
 are any changes on the main branch that show up in the changelog.
 
+### How to update the Lighthouse dependency
+
+- Update the Lighthouse version in package.json and run `npm install`. The npm version is currently used for types.
+- Check out the corresponding Lighthouse repository revision to a sibling directory (`../lighthouse`).
+- Run `npm run update-lighthouse` (Note that Lighthouse requires yarn).
+- Commit the bundle. If new dependencies are added via the bundle, update `tests/third_party_notices.test.ts`.
+
 ## Installation
 
 Check that you are using node version specified in .nvmrc, then run following commands:

package-lock.json

@@ -67,7 +67,7 @@
     "eslint-import-resolver-typescript": "^4.4.4",
     "eslint-plugin-import": "^2.32.0",
     "globals": "^17.0.0",
-    "lighthouse": "13.0.3",
+    "lighthouse": "13.1.0",
     "prettier": "^3.6.2",
     "puppeteer": "24.40.0",
     "rollup": "4.60.1",

package.json

@@ -120,7 +120,7 @@ SOFTWARE.
 
 Name: axe-core
 URL: https://www.deque.com/axe/
-Version: 4.11.0
+Version: 4.11.2
 License: MPL-2.0
 
 Mozilla Public License, version 2.0
@@ -1556,7 +1556,7 @@ SOFTWARE.
 
 Name: puppeteer-core
 URL: https://github.com/puppeteer/puppeteer/tree/main/packages/puppeteer-core
-Version: 24.23.0
+Version: 24.40.0
 License: Apache-2.0
 
 -------------------- DEPENDENCY DIVIDER --------------------
@@ -1622,7 +1622,7 @@ SOFTWARE.
 
 Name: tldts-core
 URL: https://github.com/remusao/tldts#readme
-Version: 7.0.17
+Version: 7.0.27
 License: MIT
 
 Copyright (c) 2017 Thomas Parisot, 2018 Rémi Berson
@@ -1644,7 +1644,7 @@ FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTH
 
 Name: tldts-icann
 URL: https://github.com/remusao/tldts#readme
-Version: 7.0.17
+Version: 7.0.27
 License: MIT
 
 Copyright (c) 2017 Thomas Parisot, 2018 Rémi Berson