[cmpadden]

Summary

• Add a local, dependency-free Pi extension under pi/.pi/agent/extensions/tmux-status rather than installing a third-party Pi package.
• Show inline status badges alongside window numbers and names, e.g. 0 dotfiles [pi:done], in a centered, visible-by-default single-row tmux status bar.
• Track idle, working, waiting, and done through Pi lifecycle events, using agent_settled rather than agent_end for final completion.
• Publish pane-local state and aggregate each window with waiting > working > done > idle, preserving window names, theme colors, and active-window highlighting.
• Renew short-lived leases so crashed sessions disappear after approximately 20 seconds; protect reload/shutdown cleanup with ownership tokens and ignore noninteractive child runs.
• Document activation, state meanings, limitations, and validation; include lifecycle tests and an isolated tmux integration test.

The visibility and window-name-label changes were already committed on local main but were not on remote main; this PR includes their resulting configuration alongside the Pi badges. No unrelated working-tree changes are included.

Validation

• Passed: node --test pi/.pi/agent/extensions/tmux-status/status.test.ts (7 tests, including isolated tmux integration).
• Passed: strict TypeScript check against the installed Pi 1.5.0 types.
• Passed: changed-file pre-commit checks and git diff --check.
• Passed: make format.
• make lint: all available checks passed; both shellcheck hooks are blocked because shellcheck is not installed.
• Manually audited the staged diff for sensitive information and generated/runtime state.

Activation

Run /reload in existing interactive Pi sessions, then reload tmux with prefix + r. Prefix + Space continues to toggle the status bar.