PYTHON-5492 Fix handling of MaxTimeMSExpired responses #7961

Job	Run time
static	1m 37s
CPython pypy-3.10-ubuntu-latest	2m 51s
CPython 3.13t-ubuntu-latest	2m 53s
Docs Checks	39s
DocTest	1m 2s
CPython 3.9-ubuntu-latest	2m 53s
Typing Tests (3.9)	34s
Link Check	2m 53s
Typing Tests (3.11)	29s
Make an sdist	17s
Test async's minimum dependencies and Python	42s
Test using minimum dependencies and supported Python	36s
Install from SDist and Test	1m 0s
	18m 26s

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