Add visual status indicators (colored badges or buttons) for applications deployed via Docker Compose

Proposed states:

🔴 Stopped – application is not running

🟡 Starting – application is starting, restarting, or being deployed

🟢 Running – application is up and operational

These indicators should be visible:

at the application / Compose stack level

optionally at the individual service level within the Compose stack

Operational Value

Improved real-time observability without accessing the CLI or entering the app.

Faster mean time to resolution (MTTR).

Clear and reliable deployment validation.

Behavior aligned with modern container orchestration UX standards.