• Consolidate all web integration tests under flutter/flutter/dev/integration_tests/web_e2e_tests
• Add failure_test.dart from package:integration_test to the CI
• Catch errors from the web driver callback and report them in a format that FlutterDriver understands and can print to the logs in a debuggable way

Design doc: https://docs.google.com/document/d/15hI36xAt05XZQR35jQXNqcPSQRhcROjqAMZ20PAnJ1E

Progress towards:

• web engine integration tests failing, but reporting success #85387
• Split felt commands as builds and tests #85274

Pre-launch Checklist

• I read the Contributor Guide and followed the process outlined there for submitting PRs.
• I read the Tree Hygiene wiki page, which explains my responsibilities.
• I read and followed the Flutter Style Guide, including Features we expect every widget to implement.
• I signed the CLA.
• I listed at least one issue that this PR fixes in the description above.
• I updated/added relevant documentation (doc comments with ///).
• I added new tests to check the change I am making or feature I am adding, or Hixie said the PR is test-exempt.
• All existing and new tests are passing.

If you need help, consider asking for advice on the #hackers-new channel on Discord.