[3.13] gh-141004: Add a CI job ensuring that new C APIs include documentation (GH...

[3.13] gh-141004: Add a CI job ensuring that new C APIs include documentation (GH-142102) (GH-142248)

* gh-141004: Add a CI job ensuring that new C APIs include documentation (GH-142102)

Co-authored-by: Hugo van Kemenade <1324225+hugovk@users.noreply.github.com>
(cherry picked from commit 1a7824a927f0706300af7bfc182884a43e2f587a)

* [3.13] gh-141004: Add a CI job ensuring that new C APIs include documentation (GH-142102)
(cherry picked from commit 1a7824a927f0706300af7bfc182884a43e2f587a)

Co-authored-by: Peter Bierma <zintensitydev@gmail.com>
Co-authored-by: Hugo van Kemenade <1324225+hugovk@users.noreply.github.com>
* Update Tools/check-c-api-docs/ignored_c_api.txt

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Co-authored-by: Hugo van Kemenade <1324225+hugovk@users.noreply.github.com>