PYTHON-5492 Fix handling of MaxTimeMSExpired responses (#2477) [v4.14] #7965

Job	Run time
CPython 3.13t-ubuntu-latest	11m 4s
CPython pypy-3.10-ubuntu-latest	12m 7s
static	3m 45s
CPython 3.9-ubuntu-latest	11m 15s
Typing Tests (3.9)	1m 12s
Make an sdist	11s
Typing Tests (3.11)	1m 6s
Test using minimum dependencies and supported Python	41s
Docs Checks	47s
DocTest	1m 0s
Test async's minimum dependencies and Python	45s
Link Check	2m 41s
Install from SDist and Test	1m 14s
	47m 48s

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