build(deps-dev): bump vite from 5.1.6 to 5.2.2 in /website

Bumps [vite](https://github.com/vitejs/vite/tree/HEAD/packages/vite) from 5.1.6 to 5.2.2.
- [Release notes](https://github.com/vitejs/vite/releases)
- [Changelog](https://github.com/vitejs/vite/blob/main/packages/vite/CHANGELOG.md)
- [Commits](https://github.com/vitejs/vite/commits/create-vite@5.2.2/packages/vite)

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

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

Author: dependabot[bot]

website/package.json

@@ -52,7 +52,7 @@
     "prettier": "^3.2.5",
     "start-server-and-test": "^2.0.3",
     "typescript": "^5.4.2",
-    "vite": "^5.1.6"
+    "vite": "^5.2.2"
   },
   "prettier": {
     "singleQuote": true,