Replying to each piece:

> What if my application is not dockerized?

Then claude runs in a container created from our default image, and any code it executes will run in that container as well.

> Can Claude Code execute tests by itself in the context of the container when not paired?

Yup! It can do whatever you tell it. The "pairing" is purely optional -- it's just there in case you want to directly edit the agent's code from your IDE.

> Do they all share the same database?

We support custom docker containers, so you should be able to configure it however you want (eg, to have separate databases, or to share a database, depending on what you want)

> Running full containerized applications with many versions of Postgres at the same time sounds very heavy for a dev laptop

Yeah -- it's not quite as bad if you run a single containerized Postgres and they each connect to a different database within that instance, but it's still a good point.

One of the features on our roadmap (that I'm very excited about) is the ability to use fully remote containers (which definitely gets rid of this "heaviness", though it can get a bit expensive if you're not careful)

> the feature I was most looking forward to is a mobile integration to check the agent status while away from keyboard, from my phone.

That's definitely on the roadmap!