### 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.
for index, package_name in enumerate(package_list)
            ]
    check_async_run_results(
        results=results,
        success="All package documentation published.",
        outputs=outputs,
        include_success_outputs=include_success_outputs,
        skip_cleanup=skip_cleanup,
        summarize_on_ci=SummarizeAfter.NO_SUMMARY,
    )
@release_management.command(
    name="publish-docs",
    help="Command to publish generated documentation to airflow-site",
)
@click.option("-s", "--override-versioned", help="Overrides versioned directories.", is_flag=True)
@option_airflow_site_directory
@click.option(
    "--package-filter",
    help="List of packages to consider.",
    type=NotVerifiedBetterChoice(get_available_documentation_packages()),
    multiple=True,
)
@option_run_in_parallel
@option_parallelism
@option_debug_resources
@option_include_success_outputs
@option_skip_cleanup
@option_verbose
@option_dry_run
def publish_docs(