Bump @docsearch/js from 3.9.0 to 4.0.1 in /docs

Bumps [@docsearch/js](https://github.com/algolia/docsearch/tree/HEAD/packages/docsearch-js) from 3.9.0 to 4.0.1.
- [Release notes](https://github.com/algolia/docsearch/releases)
- [Changelog](https://github.com/algolia/docsearch/blob/main/CHANGELOG.md)
- [Commits](https://github.com/algolia/docsearch/commits/v4.0.1/packages/docsearch-js)

---
updated-dependencies:
- dependency-name: "@docsearch/js"
  dependency-version: 4.0.1
  dependency-type: direct:production
  update-type: version-update:semver-major
...

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

docs/package.json

@@ -14,7 +14,7 @@
         "write-heading-ids": "docusaurus write-heading-ids"
     },
     "dependencies": {
-        "@docsearch/js": "^3.9.0",
+        "@docsearch/js": "^4.1.0",
         "@docusaurus/core": "^3.9.0",
         "@docusaurus/plugin-google-gtag": "^3.8.1",
         "@docusaurus/preset-classic": "^3.9.0",