### 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.
pytest.param(
                ("generated/provider_dependencies.json",),
                {
                    "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",
                    "needs-helm-tests": "true",
                    "run-tests": "true",
                    "run-amazon-tests": "true",
                    "docs-build": "true",
                    "upgrade-to-newer-dependencies": "true",
                    "parallel-test-types-list-as-string": "Operators Core Providers[-amazon,google] "
                    "Providers[amazon] WWW "
                    "API Always CLI Other Providers[google]",
                },
                id="Everything should run and upgrading to newer requirements as dependencies change",
            )
        ),
        pytest.param(
            ("airflow/providers/amazon/__init__.py",),
            {
                "affected-providers-list-as-string": "amazon apache.hive cncf.kubernetes "
                "common.sql exasol ftp google http imap microsoft.azure "
                "mongo mysql openlineage postgres salesforce ssh",
                "all-python-versions": "['3.8']",
                "all-python-versions-list-as-string": "3.8",
                "python-versions": "['3.8']",