[3.11] gh-98456: Replace deprecated `set-output` with up-to-date vers… (gh-98565)

[3.11] gh-98456: Replace deprecated `set-output` with up-to-date version (gh-98457).
(cherry picked from commit 1db2a0cb20a1de5231a73fc7381056d725e90535)

Co-authored-by: Noam Cohen <noam@noam.me>

Co-authored-by: Noam Cohen <noam@noam.me>