This has so many problems. Like, starting with the fact that the CIA never admits anything unless the entire rest of the US government puts a gun to their head, and sometimes not even then, so why would they be able to be blackmailed? It comes down to "Your fabricated evidence vs. CIA fabricated evidence", and the CIA is probably better at fabricating evidence, tbh.
Another being that, historically, the CIA has assassinated foreign journalists and... the world didn't unite against us. Like, it was a blip on the international relations radar. Which, while fucked up, suggests that it's a terrible fucking choice to try to blackmail the CIA with.