### Body

The `--package-filter` while nice in theory to specify which packages to build, has quite bad UX (lots of repetitions when specifying multiple packages, long package names. We practically (except `--package-filter apache-airflow-providers-*` never use the functionality of the filter with glob patterns.

It's much more practical to use "short" package names ("apache.hdfs" rather that `--package-filter apache-airflow-providers-apache-hdfs` and we already use it in a few places in Breeze. 

We should likely replace all the places when we use `--package-filter` with those short names, add a special alias for `all-providers` and this should help our users who build documentation and release manager to do their work faster and nicer. 

This would also allow to remove the separate ./dev/provider_packages/publish_provider_documentation.sh  bash script that is aimed to do somethign similar in a "hacky way".

### Committer

- [X] I acknowledge that I am a maintainer/committer of the Apache Airflow project.
exec_shell_params = ShellParams()
    check_docker_resources(exec_shell_params.airflow_image_name)
    exec_shell_params.print_badge_info()
    env_variables = get_env_variables_for_docker_commands(exec_shell_params)
    cmd = ["docker", "compose", "ps", "--all", "--filter", "status=running", "airflow"]
    docker_compose_ps_command = run_command(
        cmd, text=True, capture_output=True, env=env_variables, check=False
    )
    if get_dry_run():
        return "CONTAINER_ID"
    if docker_compose_ps_command.returncode != 0:
        if get_verbose():
            get_console().print(docker_compose_ps_command.stdout)
            get_console().print(docker_compose_ps_command.stderr)
        stop_exec_on_error(docker_compose_ps_command.returncode)
        return None
    output = docker_compose_ps_command.stdout
    container_info = output.strip().splitlines()
    if container_info:
        container_running = container_info[-1].split(" ")[0]
        if container_running.startswith("-"):
            
            stop_exec_on_error(docker_compose_ps_command.returncode)
        return container_running
    else:
        stop_exec_on_error(1)
        return None