Probably breaks with eager task factory

[twisteroidambassador]

Haven't checked, but it looks like the current implementation will trip an AssertionError when used with eager_task_factory introduced in Python 3.12.

Will need to add test for it, and fix if fails.

Refer to cpython's fix for it:
https://github.com/python/cpython/blob/main/Lib/asyncio/staggered.py
python/cpython#124847

Also check out https://github.com/aio-libs/aiohappyeyeballs and see their solution.

[twisteroidambassador]

Done.

All tests are now run with both lazy and eager task factories, and all tests pass with eager task factory.