[Archery] archery docker push doesn't support ghcr.io #47795

Error response from daemon: Get "https://registry-1.docker.io/v2/": unauthorized: incorrect username or password
Traceback (most recent call last):
  File "/home/runner/work/arrow/arrow/dev/archery/archery/docker/core.py", line 229, in _execute_docker
    result = Docker().run(*args, **kwargs)
  File "/home/runner/work/arrow/arrow/dev/archery/archery/utils/command.py", line 78, in run
    return subprocess.run(invocation, **kwargs)
           ~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/hostedtoolcache/Python/3.13.7/x64/lib/python3.13/subprocess.py", line 577, in run
    raise CalledProcessError(retcode, process.args,
                             output=stdout, stderr=stderr)
subprocess.CalledProcessError: Command '['docker', 'login', '-u', 'kou', '-p', '***']' returned non-zero exit status 1.