It would have been a crime for the person at the CIA to reveal it. They knew Novak knew she worked at the CIA, but if Novak didn't know for example that she worked undercover, they wouldn't confirm that for him, or they would be guilty of a crime for doing so unless Novak has a Top Secret security clearance I am unaware of at this point.
Novak was used, Novak is using... Novak as I point out, is pro arab, anti israel, was against the war before it started.