feat: Authentication error codes

[emmernme]

Plugin(s)

• [ ] Analytics
• [ ] App
• [ ] App Check
• [X] Authentication
• [ ] Crashlytics
• [ ] Cloud Firestore
• [ ] Cloud Functions
• [ ] Cloud Messaging
• [ ] Cloud Storage
• [ ] Performance
• [ ] Remote Config

Current problem

Firebase Authentication's native implementation has typings for error messages, returning both an error code and a descriptive message. In order to handle errors effectively, it would be useful for these errors to also be provided in this plugin. E.g. FirebaseAuthentication.signInWithEmailAndPassword, it would be useful to be able to differentiate between invalid credentials and other errors such as "user deleted", etc.

See all available error codes & messages here: https://firebase.google.com/docs/reference/js/auth#autherrorcodes

Preferred solution

Pass on types and error objects in the same format as the Firebase auth library.

Alternative options

No response

Additional context

No response

Before submitting

• [X] I have read and followed the feature request guidelines.
• [X] I have attached links to possibly related issues and discussions.

[emmernme]

I see now that the full error objects are already included, which is great! Closing as completed.