“So the least bad option for him is to quietly green-light Mossad, and then make some angry noises when they finish whacking them and saving any hostages still alive.”
Just like when a lot of the Middle East screeched and hollered when Israel took out the Iraqi Osirak reactor back in ‘81.
Behind the scenes, there were undoubtedly glad it happened.
That’s the Levant for you. Appearance is more important than reality, so long as you have the reality covered.