Trying to run Flutter app with Firebase on Mac M1 fails

[MyFakeHub]

I developed an App completely on Windows (was testing it using an android Emulator), now I want to build it on iOS so I can publish it on the Appstore. I have a MacBook Air with M1 Chip. When running flutter run the App built successfully but failed to connect to Firebase, so I followed the instructions there on how to add an iOS App to the project. After doing that the App runs but it only displays a white screen and I get the following message in Android Studio:

Launching lib/main.dart on iPhone 13 Pro in debug mode...
Running Xcode build...                                                  
 └─Compiling, linking and signing...                         7.3s
Xcode build done.                                           24.1s
[VERBOSE-2:ui_dart_state.cc(209)] Unhandled Exception: MissingPluginException(No implementation found for method Firebase#initializeCore on channel plugins.flutter.io/firebase_core)
#0      MethodChannel._invokeMethod (package:flutter/src/services/platform_channel.dart:154:7)
<asynchronous suspension>
#1      MethodChannel.invokeListMethod (package:flutter/src/services/platform_channel.dart:342:35)
<asynchronous suspension>
#2      MethodChannelFirebase._initializeCore (package:firebase_core_platform_interface/src/method_channel/method_channel_firebase.dart:30:23)
<asynchronous suspension>
#3      MethodChannelFirebase.initializeApp (package:firebase_core_platform_interface/src/method_channel/method_channel_firebase.dart:77:7)
<asynchronous suspension>
#4      Firebase.initializeApp (package:firebase_core/src/firebase.dart:42:31)
<asynchronous suspension>
#5      main (package:esgintern/main.dart:76:3)
<asynchronous suspension>