PYTHON-5492 Fix handling of MaxTimeMS message (#2484) [v4.14] (#2485) #7982

Job	Run time
static	3m 6s
CPython 3.9-ubuntu-latest	11m 3s
CPython pypy-3.10-ubuntu-latest	12m 8s
Test using minimum dependencies and supported Python	38s
CPython 3.13t-ubuntu-latest	11m 12s
Docs Checks	46s
Test async's minimum dependencies and Python	55s
DocTest	55s
Typing Tests (3.11)	1m 11s
Typing Tests (3.9)	1m 6s
Link Check	2m 44s
Make an sdist	11s
Install from SDist and Test	58s
	46m 53s

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