Bump typescript-eslint in /src/Elastic.Documentation.Site (#1428)

Bumps [typescript-eslint](https://github.com/typescript-eslint/typescript-eslint/tree/HEAD/packages/typescript-eslint) from 8.34.0 to 8.35.0.
- [Release notes](https://github.com/typescript-eslint/typescript-eslint/releases)
- [Changelog](https://github.com/typescript-eslint/typescript-eslint/blob/main/packages/typescript-eslint/CHANGELOG.md)
- [Commits](https://github.com/typescript-eslint/typescript-eslint/commits/v8.35.0/packages/typescript-eslint)

---
updated-dependencies:
- dependency-name: typescript-eslint
  dependency-version: 8.35.0
  dependency-type: direct:development
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <[email protected]>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

Author: dependabot[bot]

src/Elastic.Documentation.Site/package-lock.json

@@ -46,7 +46,7 @@
     "prettier-plugin-tailwindcss": "0.6.13",
     "react": "18.3.1",
     "react-dom": "18.3.1",
-    "typescript-eslint": "8.34.0"
+    "typescript-eslint": "8.35.0"
   },
   "browserslist": [
     "defaults"