### Body

Our CI generates `--package-filter` list in selective checks in order to pass them to `build-docs` and `publish-docs` commands. However after implementing #33876 and #34085 we could switch both commands to use short package ids which we already have (almost - there should be a slight modification for `apache-airflow`, `apache-airflow-providers` and `helm-chart` most likely. This should also simplify some of the unit tests we have.



### Committer

- [X] I acknowledge that I am a maintainer/committer of the Apache Airflow project.
stderr = SelectiveChecks(
        files=files,
        commit_ref="HEAD",
        github_event=GithubEvents.PULL_REQUEST,
        pr_labels=(),
        default_branch="main",
    )
    assert_outputs_are_printed(expected_outputs, str(stderr))
@pytest.mark.parametrize(
    "github_event, github_actor, github_repository, pr_labels, github_context_dict, runs_on",
    [
        pytest.param(GithubEvents.PUSH, "user", "apache/airflow", [], dict(), "self-hosted", id="Push event"),
        pytest.param(
            GithubEvents.PUSH,
            "user",
            "private/airflow",
            [],
            dict(),