Clarification regarding APPLICATION_DEFAULT_CREDENTIALS

**Describe what scenario you think is uncovered by the existing examples/articles** The documentation states that in environments which support ADC, you can create a Firestore instance via: `final firestore = Firestore();` Locally, I have exported `GOOGLE_APPLICATION_CREDENTIALS=/path/to/creds.json`, and my `server.dart` file consist of: ``` import 'package:google_cloud_firestore/google_cloud_firestore.dart'; final firestore = Firestore(); final docRef = firestore.collection('games').doc('foo'); final doc = await docRef.get(); ... ``` but I still get: ``` "error": "Bad state: Project ID has not been discovered yet. Initialize the SDK with credentials that include a project ID, set project ID in Settings, or set the GOOGLE_CLOUD_PROJECT environment variable." #0 Firestore.projectId (package:google_cloud_firestore/src/firestore.dart:344:5) #1 DocumentReference._formattedName (package:google_cloud_firestore/src/reference/document_reference.dart:58:45) #2 new _DocumentReader.<anonymous closure> (package:google_cloud_firestore/src/document_reader.dart:32:55) #3 MappedListIterable.elementAt (dart:_internal/iterable.dart:442:31) #4 ListIterable.toSet (dart:_internal/iterable.dart:229:18) #5 new _DocumentReader (package:google_cloud_firestore/src/document_reader.dart:32:71) #6 Firestore.getAll (package:google_cloud_firestore/src/firestore.dart:697:20) #7 DocumentReference.get (package:google_cloud_firestore/src/reference/document_reference.dart:117:36) ``` In reviewing the stacktrace, it looks as though at no point does the sdk set the `Settings.project_id` before attempting to retrieve docs when using ADC. What am I missing? **Describe why existing examples/articles do not cover this case** Explain which examples/articles you have seen before making this request, and why they did not help you with your problem. **Additional context** Add any other context or screenshots about the documentation request here.