refactor(auth)!: remove deprecated API ahead of breaking change release

packages/firebase_auth/firebase_auth/lib/src/firebase_auth.dart

@@ -74,47 +74,6 @@ class FirebaseAuth extends FirebasePluginPlatform {
     return _delegate.languageCode;
   }
 
-  /// Changes this instance to point to an Auth emulator running locally.
-  ///
-  /// Set the [origin] of the local emulator, such as "http://localhost:9099"
-  ///
-  /// Note: Must be called immediately, prior to accessing auth methods.
-  /// Do not use with production credentials as emulator traffic is not encrypted.
-  ///
-  /// Note: auth emulator is not supported for web yet. firebase-js-sdk does not support
-  /// auth.useEmulator until v8.2.4, but FlutterFire does not support firebase-js-sdk v8+ yet
-  @Deprecated(
-    'Will be removed in future release. '
-    'Use useAuthEmulator().',
-  )
-  Future<void> useEmulator(String origin) async {
-    assert(origin.isNotEmpty);
-    String mappedOrigin = origin;
-
-    // Android considers localhost as 10.0.2.2 - automatically handle this for users.
-    if (defaultTargetPlatform == TargetPlatform.android && !kIsWeb) {
-      if (mappedOrigin.startsWith('http://localhost')) {
-        mappedOrigin =
-            mappedOrigin.replaceFirst('http://localhost', 'http://10.0.2.2');
-      } else if (mappedOrigin.startsWith('http://127.0.0.1')) {
-        mappedOrigin =
-            mappedOrigin.replaceFirst('http://127.0.0.1', 'http://10.0.2.2');
-      }
-    }
-
-    // Native calls take the host and port split out
-    final hostPortRegex = RegExp(r'^http:\/\/([\w\d.]+):(\d+)$');
-    final RegExpMatch? match = hostPortRegex.firstMatch(mappedOrigin);
-    if (match == null) {
-      throw ArgumentError('firebase.auth().useEmulator() origin format error');
-    }
-    // Two non-empty groups in RegExp match - which is null-tested - these are non-null now
-    final String host = match.group(1)!;
-    final int port = int.parse(match.group(2)!);
-
-    await useAuthEmulator(host, port);
-  }
-
   /// Changes this instance to point to an Auth emulator running locally.
   ///
   /// Set the [host] of the local emulator, such as "localhost"
@@ -646,19 +605,6 @@ class FirebaseAuth extends FirebasePluginPlatform {
     }
   }
 
-  /// Signs in with an AuthProvider using native authentication flow. This is
-  /// deprecated in favor of `signInWithProvider()`.
-  ///
-  /// A [FirebaseAuthException] maybe thrown with the following error code:
-  /// - **user-disabled**:
-  ///  - Thrown if the user corresponding to the given email has been disabled.
-  @Deprecated('You should use signInWithProvider instead')
-  Future<UserCredential> signInWithAuthProvider(
-    AuthProvider provider,
-  ) async {
-    return signInWithProvider(provider);
-  }
-
   /// Signs in with an AuthProvider using native authentication flow.
   ///
   /// A [FirebaseAuthException] maybe thrown with the following error code:

packages/firebase_auth/firebase_auth/lib/src/user.dart

@@ -641,10 +641,6 @@ class User {
   }
 
   /// Updates a user's profile data.
-  @Deprecated(
-    'Will be removed in version 2.0.0. '
-    'Use updatePhotoURL and updateDisplayName instead.',
-  )
   Future<void> updateProfile({String? displayName, String? photoURL}) {
     return _delegate.updateProfile(<String, String?>{
       'displayName': displayName,