- Add badge indicator to Planning button showing count of active background planning sessions
- Integrate useBackgroundSessions hook in App and Header components
- Add badge styles with pulse animation for active session indicator
- Add comprehensive tests for badge rendering and session count display
Introduces ai_sessions table (schema v9), AiSessionStore, and background
session support for mission interviews, planning, and subtask breakdown.
Adds BackgroundTasksIndicator component, SSE-based progress streaming,
and dashboard API routes for session management.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>