GH-37931: [Python] Revert "GH-37803: [CI][Dev][Python] Release and merge script errors (#37819)" #40150
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This reverts commit 79e49db.
#37931 should have been fixed as of pypa/setuptools-scm@056584b in setuptools_scm 8.0.4; I tested that this works in conda-forge/arrow-cpp-feedstock#1314.
CC @AlenkaF @raulcd