Bump firebase from 9.14.0 to 10.9.0 in /client

Bumps [firebase](https://github.com/firebase/firebase-js-sdk) from 9.14.0 to 10.9.0.
- [Release notes](https://github.com/firebase/firebase-js-sdk/releases)
- [Changelog](https://github.com/firebase/firebase-js-sdk/blob/main/CHANGELOG.md)
- [Commits](https://github.com/firebase/firebase-js-sdk/compare/firebase@9.14.0...firebase@10.9.0)

---
updated-dependencies:
- dependency-name: firebase
  dependency-type: direct:production
...

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

client/package.json

@@ -9,7 +9,7 @@
     "@testing-library/user-event": "^7.2.1",
     "axios": "^1.6.0",
     "bootstrap": "^4.4.1",
-    "firebase": "^9.14.0",
+    "firebase": "^10.9.0",
     "prop-types": "^15.7.2",
     "react": "^16.13.1",
     "react-dom": "^16.13.1",