chore(deps): bump @docsearch/js from 4.2.0 to 4.4.0

Bumps [@docsearch/js](https://github.com/algolia/docsearch/tree/HEAD/packages/docsearch-js) from 4.2.0 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-js)

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

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

Author: dependabot[bot]

package.json

@@ -7,7 +7,7 @@
     "build": "node scripts/build.mjs"
   },
   "dependencies": {
-    "@docsearch/js": "^4.2.0",
+    "@docsearch/js": "^4.4.0",
     "@docsearch/css": "^3.9.0",
     "@tailwindcss/postcss": "^4.1.18",
     "autoprefixer": "^10.4.22",