PYTHON-5588 Fix python binary used in FIPS tests (#2581) #8376

Job	Run time
CPython pypy-3.10-ubuntu-latest	12m 34s
Make an sdist	11s
Test minimum dependencies and Python	50s
DocTest	1m 2s
CPython 3.10-ubuntu-latest	11m 26s
static	3m 49s
Docs Checks	41s
Link Check	2m 38s
Typing Tests (3.10)	47s
CPython 3.13t-ubuntu-latest	11m 22s
Integration Tests	1m 2s
Typing Tests (3.11)	48s
Install from SDist and Test	54s
	48m 4s

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