PYTHON-5492 Fix handling of MaxTimeMSExpired responses #7958

Job	Run time
static	3m 57s
CPython pypy-3.10-ubuntu-latest	12m 7s
DocTest	51s
Docs Checks	44s
CPython 3.13t-ubuntu-latest	11m 25s
CPython 3.9-ubuntu-latest	11m 29s
Test using minimum dependencies and supported Python	46s
Make an sdist	12s
Typing Tests (3.9)	1m 8s
Typing Tests (3.11)	1m 9s
Link Check	1m 40s
Test async's minimum dependencies and Python	46s
Install from SDist and Test	47s
	47m 1s

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