### 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.
"ubuntu-22.04",
            id="Pull request committer pr non-committer",
        ),
        pytest.param(
            GithubEvents.PULL_REQUEST,
            COMMITTERS[0],
            "private/airflow",
            [],
            dict(),
            "ubuntu-22.04",
            id="Pull request private repo committer",
        ),
        pytest.param(
            GithubEvents.PULL_REQUEST_TARGET,
            "user",
            "apache/airflow",
            [],
            dict(),
            "ubuntu-22.04",
            id="Pull request target",
        ),
        pytest.param(
            GithubEvents.PULL_REQUEST_TARGET,
            "user",
            "private/airflow",
            [],
            dict(),
            "ubuntu-22.04",
            id="Pull request target private repo",
        ),