zoom AKo 3bet pot

Cbet this flop. He will have a bunch of hands like pair + gutshot or FD;s that will call your bet. You don't want to x and give free cards. If he raises you can then fold. As played river or even already turn is a fold.

1. Cbet flop out of position on this flop for sure, so many turns (like this exact turn) are bad for you. K/10/any diamand on the turn will either turn your hand into trash or make it impossible for you to make any money.
2. as played I wouldn't really fold turn, river is definitely a fold

So I would Cbet -> fold when raised on the flop. When called, check-call turn and check-fold river.

We can cbet this flop. There are draws that can pay us.
Turn is a fold.

Cbet flop. When you missed to cbet that I think it is better to fold OTT or at least OTR. So many better hands are possible and you don't know where you stand. I doubt villain would 3 barrel this with weaker hand than 2 pair.

We don't have to c-bet this flop. The check-calling range should exist (check can't mean fold 100% of the time), and this is a candidate to put in it. That said, in practice I'd c-bet.