### 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.
"run-tests": "true",
                    "run-amazon-tests": "false",
                    "docs-build": "true",
                    "run-kubernetes-tests": "true",
                    "upgrade-to-newer-dependencies": "false",
                    "parallel-test-types-list-as-string": "Always Providers[airbyte,http]",
                },
                id="Helm tests, airbyte/http providers, kubernetes tests and "
                "docs should run even if unimportant files were added",
            )
        ),
        (
            pytest.param(
                (
                    "INTHEWILD.md",
                    "chart/aaaa.txt",
                    "tests/system/utils/file.py",
                ),
                {
                    "affected-providers-list-as-string": None,
                    "all-python-versions": "['3.8']",
                    "all-python-versions-list-as-string": "3.8",
                    "python-versions": "['3.8']",
                    "python-versions-list-as-string": "3.8",
                    "image-build": "true",
                    "needs-helm-tests": "true",
                    "run-tests": "true",
                    "docs-build": "true",
                    "run-amazon-tests": "false",
                    "run-kubernetes-tests": "true",