PYTHON-5374 Assert unset BulkWriteException.partialResult in CRUD prose tests #7770

Job	Run time
CPython 3.13t-ubuntu-latest	9m 2s
DocTest	54s
CPython 3.9-ubuntu-latest	9m 10s
static	3m 9s
Link Check	2m 39s
Make an sdist	19s
Typing Tests (3.11)	1m 3s
Test using minimum dependencies and supported Python	34s
Docs Checks	46s
CPython pypy-3.10-ubuntu-latest	10m 24s
CPython 3.13-ubuntu-latest	9m 3s
Test async's minimum dependencies and Python	37s
Typing Tests (3.9)	1m 7s
Install from SDist and Test	41s
	49m 28s

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