feat: label AI-rescheduled appointments and add manual confirm option

- 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>

packages/db/shared/schemas/variants/input/Appointment.input.ts

@@ -14,6 +14,7 @@ export const AppointmentInputSchema = z.object({
     notes: z.string().optional().nullable(),
     procedureCodeNotes: z.string().optional().nullable(),
     status: z.string(),
+    movedByAi: z.boolean(),
     createdAt: z.date(),
     eligibilityStatus: PatientStatusSchema,
     patient: z.unknown(),