- Add movedByAi boolean column to Appointment table (default false) - reschedule-graph: set movedByAi=true when AI moves an appointment - PATCH /api/appointments/:id/confirm endpoint clears the movedByAi flag - Schedule grid: show teal AI badge on appointment cards where movedByAi=true - Right-click context menu: 'Manually Confirmed' removes the AI badge via the confirm endpoint Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>