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/objects/AppointmentCreateWithoutPatientInput.schema.ts

@@ -16,6 +16,7 @@ const makeSchema = () => z.object({
   notes: z.string().optional().nullable(),
   procedureCodeNotes: z.string().optional().nullable(),
   status: z.string().optional(),
+  movedByAi: z.boolean().optional(),
   createdAt: z.coerce.date().optional(),
   eligibilityStatus: PatientStatusSchema.optional(),
   user: z.lazy(() => UserCreateNestedOneWithoutAppointmentsInputObjectSchema),