chore: update dependencies to latest versions (#316)

Updated the following dependencies to their latest compatible versions:
- @octokit/auth-app: 8.1.1 → 8.1.2
- @octokit/rest: 22.0.0 → 22.0.1
- vite: 7.1.11 → 7.2.4
- @eslint/js: 9.38.0 → 9.39.1
- @vitejs/plugin-react: 5.0.4 → 5.1.1
- eslint: 9.38.0 → 9.39.1
- eslint-plugin-react-hooks: 7.0.0 → 7.0.1
- globals: 16.4.0 → 16.5.0
- nodemon: 3.1.10 → 3.1.11
- prettier: 3.6.2 → 3.7.1
- sort-package-json: 3.4.0 → 3.5.0

Note: Skipped mongodb major version update (6.20.0 → 7.0.0) to avoid
potential breaking changes without proper testing.

Author: TooAngel