Integrate quiet output badges

[jasonsuhari]

Problem

The existing feat/output-idle-badges branch predates current main and needs to be integrated without regressing recently merged terminal UI behavior.

Requested behavior

• Add quiet-output idle badges and palette/settings support where viable.
• Preserve active-state rendering stability and avoid flicker.
• Preserve rename, sleep, usage labels, pane-contained selection, runtime resize, worktrees, and conversation footers.

Acceptance checks

• Feature integrates on a fresh branch from origin/main.
• npm test passes.
• Branch is pushed and a PR to main is opened.