### 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.
files: tuple[str, ...],
    expected_outputs: dict[str, str],
):
    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(
    "files, pr_labels, default_branch, expected_outputs,",
    [
        (
            pytest.param(
                ("INTHEWILD.md",),
                ("full tests needed",),
                "main",
                {
                    "affected-providers-list-as-string": ALL_PROVIDERS_AFFECTED,
                    "all-python-versions": "['3.8', '3.9', '3.10', '3.11']",
                    "all-python-versions-list-as-string": "3.8 3.9 3.10 3.11",
                    "python-versions": "['3.8', '3.9', '3.10', '3.11']",
                    "python-versions-list-as-string": "3.8 3.9 3.10 3.11",
                    "image-build": "true",
                    "run-tests": "true",
                    "docs-build": "true",