[Docs Site] Bump algoliasearch from 5.34.1 to 5.35.0 (#24051)

Bumps [algoliasearch](https://github.com/algolia/algoliasearch-client-javascript) from 5.34.1 to 5.35.0.
- [Release notes](https://github.com/algolia/algoliasearch-client-javascript/releases)
- [Changelog](https://github.com/algolia/algoliasearch-client-javascript/blob/main/CHANGELOG.md)
- [Commits](algolia/algoliasearch-client-javascript@5.34.1...5.35.0)

---
updated-dependencies:
- dependency-name: algoliasearch
  dependency-version: 5.35.0
  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]

package-lock.json

@@ -56,7 +56,7 @@
 		"@types/react": "19.0.7",
 		"@types/react-dom": "19.0.4",
 		"@typescript-eslint/parser": "8.38.0",
-		"algoliasearch": "5.34.1",
+		"algoliasearch": "5.35.0",
 		"astro": "5.12.3",
 		"astro-breadcrumbs": "3.3.1",
 		"astro-icon": "1.1.5",