PYTHON-4993 - Reevaluate handling of asyncio.CancelledError #1629

Job	Run time
Build wheels for manylinux_x86_64	2m 24s
Make SDist	44s
Build wheels for manylinux_aarch64	11m 20s
Build wheels for manylinux_ppc64le	10m 51s
Build wheels for manylinux_s390x	11m 28s
Build wheels for manylinux_i686	2m 22s
Build wheels for win_amd6	4m 39s
Build wheels for win32	5m 17s
Build wheels for macos	5m 1s
Download Wheels	5s
	54m 11s

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