AIP-84 Migrate the public endpoint Batch Update DAG to FastAPI

### Body

Part of: https://github.com/apache/airflow/issues/42370

Migrate the 'PATCH'  batch dags. Mostly use to 'pause' multiple dags.

### Committer

- [X] I acknowledge that I am a maintainer/committer of the Apache Airflow project.