Continuity mistake: In Season 2, Episode 17 - "All In", the young patient goes into respiratory arrest. You see the doctors remove the pillow from underneath his head to put the breathing tube in, but in the next shot, the pillow is back.
Continuity mistake: Ian (the patient) moves his hand while he is in cardiac arrest, then almost immediately, Chase checks Ian's pulse and the sleeve of his shirt changes position. (00:31:10)
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