• I have checked that a similar feature request does not already exist.

✍️ Is your feature request related to a problem? Please describe.

support [connection, variable, pool] [create, list, update]

🧩 Describe the solution you'd like

Currently, deployment object commands are blocked for AF 3 this ticket exists to remove these checks and ensure these calls are made directly to the airflow REST API on the apiserver for the deployment.
We should be able to make these as direct API calls to deployment.webServerAirflowApiUrl. This should be a very similar solution to support all these commands at once.

Notably, this ticket does not include the copy commands, which will be implemented as a separate ticket, as those are more involved.

🤔 Describe alternatives you've considered

We could try to move the logic for triaging the request to webserver or apiserver into CP server side however, we'd still need to remove the AF not supported checks so it would not save us much effort and users would still have to upgrade to use it.

Is your feature request specific to a particular Astronomer Platform?

• Astro
• Software
• None/Unknown

💡 Additional context