### 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.
DIST_DIR,
    PROVIDER_METADATA_JSON_FILE_PATH,
    cleanup_python_generated_files,
)
from airflow_breeze.utils.provider_dependencies import (
    DEPENDENCIES,
    generate_providers_metadata_for_package,
    get_related_providers,
)
from airflow_breeze.utils.publish_docs_builder import PublishDocsBuilder
from airflow_breeze.utils.publish_docs_helpers import (
    get_available_packages,
    process_package_filters,
)
from airflow_breeze.utils.python_versions import get_python_version_list
from airflow_breeze.utils.run_utils import (
    RunCommandResult,
    assert_pre_commit_installed,
    run_command,
    run_compile_www_assets,
)
from airflow_breeze.utils.shared_options import get_dry_run, get_forced_answer, get_verbose
from airflow_breeze.utils.suspended_providers import get_suspended_provider_ids
option_debug_release_management = click.option(
    "--debug",
    is_flag=True,
    help="Drop user in shell instead of running the command. Useful for debugging.",
    envvar="DEBUG",
)
def run_docker_command_with_debug(