Deliberate mistake: When a patient who is given CPR is seen in the shot, the person giving the CPR does so with bent arms (the correct way to do it is with straight arms). This is deliberate, as straight-arm CPR puts in an amount of strength that frequently breaks ribs. Many films do CPR with bent arms rather than straight to avoid harming the actor.
Deliberate mistake: When extubating the patient from the respirator, the patient would have been sedated as to not cause discomfort or pain so they can die peacefully. Furthermore, the ET tube is seen being taken out, but it cuts so the actor can hold it in his mouth without choking, but in real circumstances, it's not nearly long enough to go down the trachea.
Answer: She would have No Reason to know it belonged to the CIA. If she did know he went off in the helicopter, all she would know is that it wasn't an ambulance helicopter.
Greg Dwyer