[Docs Site] Bump algoliasearch from 5.12.0 to 5.13.0

Bumps [algoliasearch](https://github.com/algolia/algoliasearch-client-javascript) from 5.12.0 to 5.13.0.
- [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@5.12.0...5.13.0)

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

Signed-off-by: dependabot[bot] <[email protected]>