PYTHON-5382 - Add a test with min dependencies #7670

Job	Run time
static	4m 4s
CPython 3.9-ubuntu-latest	4m 36s
CPython 3.13-ubuntu-latest	4m 29s
CPython 3.13t-ubuntu-latest	4m 43s
Link Check	1m 43s
Make an sdist	12s
CPython pypy-3.10-ubuntu-latest	5m 16s
Typing Tests (3.11)	1m 9s
Typing Tests (3.9)	1m 5s
Docs Checks	48s
DocTest	50s
Test using minimum dependencies and supported Python	31s
Install from SDist and Test	39s
	30m 5s

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