Summary

inpsect.iscoroutinefunction still has issues with mocked coroutines, for example, until Python 3.13.

Resolves #2983

Checklist

• I understand that this PR may be closed in case there was no previous discussion. (This doesn't apply to typos!)
• I've added a test for each change that was introduced, and I tried as much as possible to make a single atomic change.
• I've updated the documentation accordingly.