The gt status command now properly reconciles the tmux session
existence with the agent bead state to surface mismatches:
- If session exists AND bead says running/idle → "running"
- If session exists BUT bead says stopped/dead → "running [bead: <state>]"
- If session gone BUT bead says running/idle → "running [dead]"
- If session gone AND bead says stopped → "stopped"
This surfaces the key mismatch case where a tmux session is actually
running but the bead state incorrectly says "stopped" or "dead".
Fixes: gt-doih4
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Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
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