It’s less about shyt like that for me and more about him sort of lucking his way into shyt in part 3. He’s rarely ahead of the villain, he needs help, he’s drunk half the time, and gets lucky. His luck is even a point of dialogue in the flick.
In part 2 he’s basically Sherlock Holmes with a badge. He knows everything that’s going to happen before it happens and always always always gets the drop on everyone and is rarely caught off guard. If at all. In 3, he feels like more of a detective who’s in over his head against a very very smart but flawed dude.
And he didn’t shoot the helicopter with the revolver; he shot the pilot, which caused the helicopter to crash into wires