Use docker compose healthcheck status as runtime status on the UI

[remi00]

Describe the Feature You Want

Today tilt UI does not present information on docker compose health-check status. Propagating this information can be helpful at spotting any development issues that are run-time specific.

Current Behavior

Currently, when container somehow starts up but it's broken in a way that the process does not exit, but the health-check of the container indicates problem, it will be reported on the tilt UI at all-green. Tilt UI already has means to present such state more precisely.

Why Do You Want This?

Use docker container status information and propagate it into runtime status information so that tilt UI can render is nicely.

Additional context

It is at least part of #6037, but since that other ticker is broader, I think it's worth separating it.