PYTHON-5543 PyMongoBaseProtocol should inherit from asyncio.BaseProtocol #8157

Job	Run time
CPython 3.13t-ubuntu-latest	11m 34s
DocTest	1m 8s
static	3m 12s
CPython pypy-3.10-ubuntu-latest	12m 21s
CPython 3.9-ubuntu-latest	11m 31s
Link Check	10m 35s
Docs Checks	41s
Typing Tests (3.11)	58s
Make an sdist	14s
Test async's minimum dependencies and Python	47s
Typing Tests (3.9)	59s
Test using minimum dependencies and supported Python	41s
Install from SDist and Test	53s
	55m 34s

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