How would I instantiate (run) a container stored in a private Gitlab container registry from Airflow? (from a hosted airflow service?)

Question

I want to create an Airflow DAG that fires once every 24 hours.

I want it to run a container on the Gitlab CI/CD pipeline (a container that is stored in the Gitlab container registry).

Ideally I would like the container to run on the Gitlab infrastructure (if that is possible), without having a repo there.

Any ideas on how this would be possible (with or without a repo there)?

The code is hosted on github.