[3.14] gh-116738: add multi-threaded tests for `resource` module on free-threading builds (GH-138504) (#138793)

gh-116738: add multi-threaded tests for `resource` module on free-threading builds (GH-138504)
(cherry picked from commit 32e1e0699ffda8ec1dd5a0eb178b052352ab7d31)

Co-authored-by: Alper <alperyoney@fb.com>
Co-authored-by: Kumar Aditya <kumaraditya@python.org>