[Docs Site] Bump algoliasearch from 4.24.0 to 5.8.1

Bumps [algoliasearch](https://github.com/algolia/algoliasearch-client-javascript) from 4.24.0 to 5.8.1.
- [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@4.24.0...5.8.1)

---
updated-dependencies:
- dependency-name: algoliasearch
  dependency-type: direct:development
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <support@github.com>

package.json

@@ -35,7 +35,7 @@
 		"@types/node": "^20.16.1",
 		"@types/react": "^18.3.5",
 		"@types/react-dom": "^18.3.0",
-		"algoliasearch": "^4.24.0",
+		"algoliasearch": "^5.8.1",
 		"astro": "^4.15.7",
 		"astro-breadcrumbs": "^3.2.0",
 		"astro-icon": "^1.1.1",