So let's say they sign Corbin. What's the next move after that? Keep pursuing pitching? I think they should at least consider re-signing Happ even after Paxton and Corbin. Injuries happen and they should look to make the rotation as strong as possible, even if it's an embarrassment of riches (more so than usual for the Yanks).
If Kluber is still an option, I'd still pull the trigger on that one if I'm Cashman. In order of preference, assuming they sign Corbin, I'd go after:
I also think Machado has to be signed. I'm done worrying about the attitude nonsense. The dude is going to hit. I'd also sign Harper if he's truly willing to play first.
It's time to go full-on Evil Empire.