build(deps): bump @docsearch/js from 4.6.2 to 4.6.3 in /website

Bumps [@docsearch/js](https://github.com/algolia/docsearch/tree/HEAD/packages/docsearch-js) from 4.6.2 to 4.6.3.
- [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/v4.6.3/packages/docsearch-js)

---
updated-dependencies:
- dependency-name: "@docsearch/js"
  dependency-version: 4.6.3
  dependency-type: direct:production
  update-type: version-update:semver-patch
...

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

Author: dependabot[bot]

website/package-lock.json

@@ -19,7 +19,7 @@
     "@astrojs/sitemap": "^3.7.2",
     "@codesandbox/sandpack-react": "^2.20.0",
     "@docsearch/css": "^4.6.2",
-    "@docsearch/js": "^4.6.2",
+    "@docsearch/js": "^4.6.3",
     "@lucide/astro": "^1.11.0",
     "@tailwindcss/vite": "^4.2.4",
     "astro": "^6.1.9",