chore(deps): bump @docsearch/react from 3.6.0 to 4.4.0

Bumps [@docsearch/react](https://github.com/algolia/docsearch/tree/HEAD/packages/docsearch-react) from 3.6.0 to 4.4.0.
- [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/v4.4.0/packages/docsearch-react)

---
updated-dependencies:
- dependency-name: "@docsearch/react"
  dependency-version: 4.4.0
  dependency-type: direct:production
  update-type: version-update:semver-major
...

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

Author: dependabot[bot]

package.json

@@ -21,7 +21,7 @@
     "@auth0/auth0-react": "^2.2.4",
     "@awesome.me/kit-c4457d1be4": "latest",
     "@chargebee/chargebee-js-types": "^1.0.8",
-    "@docsearch/react": "^3.6.0",
+    "@docsearch/react": "^4.4.0",
     "@elgorditosalsero/react-gtm-hook": "^2.6.0",
     "@lukemorales/query-key-factory": "^1.3.2",
     "@monaco-editor/react": "^4.7.0",