Plot hole: In the scene with Mikey in the NICU, the alarms start to go off, stating that he is in distress. The nurse screams "He's in V-fib!" and everyone rushes around him. In the next shot they show the heart monitor just before Chase shocks Mikey's heart. The problem is that the heart rate is so fast with one wide complex that it would actually be Supraventricular Tachycardia with 1 Premature Ventricular Contraction (SVT with 1 PVC), which is far less serious than V-fib and wouldn't require the heart to be shocked.
Continuity mistake: About 5 minutes in, when Foreman struggles with opening the coffee package, House rips the entire top of the package off with his teeth. In the following shots, you can see that the coffee package merely has a corner ripped off.
Character mistake: House says to Chase "I've got a dead baby for you to biopsy." A biopsy is a test performed on tissue from a living patient. He should have said 'autopsy' - the procedure performed on a dead person to determine how they died. House, as a doctor, would know this distinction. (00:32:45)
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