有没有什么简单的方法可以用Firebase Auth在Flutter中用Google Play游戏登录？

dependencies:
  firebase_auth: ^版本号
  google_sign_in: ^版本号

import 'package:firebase_auth/firebase_auth.dart';
import 'package:google_sign_in/google_sign_in.dart';

final GoogleSignIn _googleSignIn = GoogleSignIn();
final FirebaseAuth _auth = FirebaseAuth.instance;

Future<UserCredential> signInWithGoogle() async {
  // 请求用户授权
  final GoogleSignInAccount googleSignInAccount = await _googleSignIn.signIn();

  // 获取用户的身份认证信息
  final GoogleSignInAuthentication googleSignInAuthentication =
      await googleSignInAccount.authentication;

  // 创建一个GoogleAuthProvider凭证
  final GoogleAuthCredential googleAuthCredential =
      GoogleAuthProvider.credential(
    accessToken: googleSignInAuthentication.accessToken,
    idToken: googleSignInAuthentication.idToken,
  );

  // 使用GoogleAuthProvider凭证登录Firebase Auth
  final UserCredential userCredential =
      await _auth.signInWithCredential(googleAuthCredential);

  return userCredential;
}

signInWithGoogle().then((UserCredential userCredential) {
  // 登录成功，可以在这里处理用户信息或导航到其他页面
}).catchError((e) {
  // 登录失败，可以在这里处理错误信息
});