[3.13] gh-123275: Support `-Xgil=1` and `PYTHON_GIL=1` on non-free-threaded builds (gh-123276) (gh-123753)

gh-123275: Support `-Xgil=1` and `PYTHON_GIL=1` on non-free-threaded builds (gh-123276)
(cherry picked from commit 84ad264ce602fb263a46a4536377bdc830eea81e)

Co-authored-by: Peter Bierma <zintensitydev@gmail.com>