test(firebase_messaging): migrate to integration_test package

[nilsreichardt]

Description

Migrates the Flutter Driver tests to Flutter Integration tests. I just copied the Flutter Driver. So I have not changed any test.

Related Issues

Part of #6829

Checklist

Before you create this PR confirm that it meets all requirements listed below by checking the relevant checkboxes ([x]).
This will ensure a smooth and quick review process. Updating the pubspec.yaml and changelogs is not required.

• I read the Contributor Guide and followed the process outlined there for submitting PRs.
• My PR includes unit or integration tests for all changed/updated/fixed behaviors (See Contributor Guide).
• All existing and new tests are passing.
• I updated/added relevant documentation (doc comments with ///).
• The analyzer (melos run analyze) does not report any problems on my PR.
• I read and followed the Flutter Style Guide.
• I signed the CLA.
• I am willing to follow-up on review comments in a timely manner.

Breaking Change

Does your PR require plugin users to manually update their apps to accommodate your change?

• Yes, this is a breaking change.
• No, this is not a breaking change.

[nilsreichardt]

I think I need to fix this broken CI

[russellwheatley]

@nilsreichardt The android CI is pretty flaky at the moment. But I've noticed that these integration tests are way less flaky than the previous implementation using drive.

[nilsreichardt]

@russellwheatley Yeah, I have also see feeling. I'm not sure if it's worth to invest more time in #9076 🤔 I have also planned to make a stability test when I migrated every package (similar I need with the all_plugins jobs)

[russellwheatley]

@nilsreichardt but if you wanted to raise the last PRs for the integration tests update (ml model downloader, storage & app check) for the e2e tests, that would be awesome 👍

[russellwheatley]

@nilsreichardt yes, I'm going to leave that PR because I think this should really improve the e2e tests 😄

[nilsreichardt]

@russellwheatley I'm going to do it this week :)