chore: update dependencies and configuration

- Bump @biomejs/biome to version 2.4.10
- Update @types/node to 25.5.0 and @types/react to 19.2.14
- Upgrade @vitejs/plugin-react to 6.0.1
- Update core-js to 3.49.0 and jsdom to 29.0.1
- Upgrade typescript to 6.0.2 and vite to 8.0.3
- Update vite-tsconfig-paths to 6.1.1
- Change moduleResolution in tsconfig.json from "node" to "bundler"
- Add vite/client and @testing-library/jest-dom to types in tsconfig.json
- Modify vitest.config.ts to enable tsconfig paths in resolve
- Add vite-env.d.ts for vite types reference
- Adjust import statement in App.test.tsx for mockEventSource

Author: psytraxx