When the script .git/hooks/pre-commit will be called because of a git commit, pre-commit will not get patched.

Steps to reproduce:

# prepare and activate your virtual environment (with uv)
pre-commit install --install-hooks
.git/hooks/pre-commit

The output will not contain the log Using pre-commit with ..., because the condition
os.path.split(calling)[1] == f"pre-commit{'.exe' if sys.platform == 'win32' else ''}" is false.

sys.argv: ['-m', 'hook-impl', '--config=.pre-commit-config.yaml', '--hook-type=pre-commit', '--hook-dir', '<path to repo>/.git/hooks', '--']

Even if i could force the patch with the env var, it would be cool when the patching would work without it.
Don't know if it would be a solution to extend the condition with something like ... or 'hook-impl' in sys.argv ?

PS.: I think the actual root cause is that when calling python3 -m pre-commit, the path to the pre-commit binary is not in sys.argv