### Body

Same as https://github.com/apache/airflow/issues/33876 but for `publish-docs` command.

### Committer

- [X] I acknowledge that I am a maintainer/committer of the Apache Airflow project.
run_command(
        ["git", "push", remote_name, f"constraints-{airflow_version}-fix"],
        cwd=constraints_repo,
    )
    run_command(
        ["git", "push", remote_name, f"constraints-{airflow_version}", "--force"],
        cwd=constraints_repo,
    )
@release_management.command(
    name="update-constraints", help="Update released constraints with manual changes."
)
@click.option(
    "--constraints-repo",
    type=click.Path(file_okay=False, dir_okay=True, path_type=Path, exists=True),
    required=True,
    envvar="CONSTRAINTS_REPO",
    help="Path where airflow repository is checked out, with ``constraints-main`` branch checked out.",
)
@click.option(
    "--remote-name",
    type=str,
    default="apache",
    envvar="REMOTE_NAME",
    help="Name of the remote to push the changes to.",
)
@click.option(
    "--airflow-versions",
    type=str,
    required=True,
    envvar="AIRFLOW_VERSIONS",