[3.13] gh-119132: Log sys._is_gil_enabled() in test.pythoninfo (GH-119140) (#119143)

gh-119132: Log sys._is_gil_enabled() in test.pythoninfo (GH-119140)
(cherry picked from commit 74072a3ffc733e32159e694bcf7a2198f2db0d43)

Co-authored-by: Victor Stinner <vstinner@python.org>