Is it possible to run a web test with extensions?

Question

I am running the following test

@TestOn('chrome')

import 'package:flutter_test/flutter_test.dart';
import 'package:flutter/foundation.dart';

import 'package:my_project/data/web3/web3_provider_meta_mask.dart';
import 'package:my_project/data/web3/web3_repository.dart';

void main() {
  group('web3Repository', () {
    test('connect', () async {
      final Web3Repository repository = Web3Repository(
        provider: Web3ProviderMetaMask(),
      );
      final repsonse = await repository.connectProvider();
      List<String> accounts = [];
      repsonse.fold(
        (failure) {
          debugPrint(failure.toString());
        },
        (result) {
          accounts = result;
        },
      );
      expect(accounts.isNotEmpty, true);
    });
  });
}

The Web3ProviderMetaMask is using import 'package:flutter_web3/flutter_web3.dart' as web3;

But the test fails because the ethereum object is not available in the browser. It seems like the test opens a incognito browser window without the metamask plugin. Is it possible to run the test in a non incognito window?