Bump vite from 5.1.6 to 5.2.2 in /client

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>

client/package.json

@@ -33,6 +33,6 @@
     "eslint-plugin-react": "^7.34.1",
     "eslint-plugin-react-hooks": "^4.6.0",
     "eslint-plugin-react-refresh": "^0.4.6",
-    "vite": "^5.1.6"
+    "vite": "^5.2.2"
   }
 }