Feature request: Color-code sidebar sessions by status (active / paused / completed)

What problem does this solve?

In Claude Code Desktop, the left sidebar lists all the sessions I've worked on and
am currently working on. Today there's no quick visual way to tell, at a glance,
which sessions are actively running, which are paused/waiting, and which are
finished. Filtering by status helps, but it hides sessions instead of letting me
see all of them together with their state.

Proposed solution

Add a per-session color indicator in the sidebar that reflects its status:

• 🟢 Green — session is active / Claude is currently working
• 🟡 Yellow — session is paused or waiting (e.g. waiting on user input)
• ⚪ White / neutral — session is completed / idle

This could be a small dot/pill next to each session title, or a subtle left-border
accent, so the whole list stays scannable without filtering anything out.

Alternatives considered

• Status filtering (current): works, but hides non-matching sessions rather

than showing everyone's state at once.

• OS notifications on completion (current): useful, but transient — doesn't

give a persistent at-a-glance overview of the whole list.

Additional context

A configurable option in settings.json (e.g. enable/disable, or custom colors)
would be a nice plus for accessibility and personal preference, but a sensible
default color scheme alone would already cover the main need.