FlutterFlow-Firebase Integration with Google Auth

I'm looking for an experienced developer to connect my FlutterFlow project with Firebase and implement Google Authentication.

Key Tasks:
- Connect FlutterFlow to an existing Firebase project with necessary configurations
- Create a simple login screen with a dropdown for user type selection (User, Admin, Super Admin)
- Implement Google Authentication on the login screen

Requirements:
- Experience with FlutterFlow and Firebase integration
- Proficiency in Google Sign-In authentication
- Clear, well-structured code

Please provide:
- Examples of similar work
- Estimated time for completion

I may need guidance on specific Firebase configurations like Firestore rules or security settings.