### 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.
("airflow/providers/common/sql/common_sql_python.py",),
            {
                "docs-filter-list-as-string": "--package-filter apache-airflow "
                "--package-filter apache-airflow-providers-amazon "
                "--package-filter apache-airflow-providers-apache-drill "
                "--package-filter apache-airflow-providers-apache-druid "
                "--package-filter apache-airflow-providers-apache-hive "
                "--package-filter apache-airflow-providers-apache-impala "
                "--package-filter apache-airflow-providers-apache-pinot "
                "--package-filter apache-airflow-providers-common-sql "
                "--package-filter apache-airflow-providers-databricks "
                "--package-filter apache-airflow-providers-elasticsearch "
                "--package-filter apache-airflow-providers-exasol "
                "--package-filter apache-airflow-providers-google "
                "--package-filter apache-airflow-providers-jdbc "
                "--package-filter apache-airflow-providers-microsoft-mssql "
                "--package-filter apache-airflow-providers-mysql "
                "--package-filter apache-airflow-providers-odbc "
                "--package-filter apache-airflow-providers-openlineage "
                "--package-filter apache-airflow-providers-oracle "
                "--package-filter apache-airflow-providers-postgres "
                "--package-filter apache-airflow-providers-presto "
                "--package-filter apache-airflow-providers-slack "
                "--package-filter apache-airflow-providers-snowflake "
                "--package-filter apache-airflow-providers-sqlite "
                "--package-filter apache-airflow-providers-trino "
                "--package-filter apache-airflow-providers-vertica",
            },
            id="Common SQL provider package python files changed",
        ),