3bet spot AK

Why do you call the turn? You have nothing.
You can lead the turn yourself for half pot and follow up on the river, but calling isn't an option here.

I would prefer cbet on the flop around 25-30%, because we are preflop agressor and we have in our range more nuts combos than our opponent and we can also barel K,A turn and our hand is pretty good, so we dont want to go check/fold on the flop. But check/call probably can be ok fine on some smaller sizing, but we want to cbet otf the most of our range imo.

You only beat AQ when you start calling there. I think he had some PP.

I always c-bet a flop here. A lot of AK AQ smaller PP will fold.

Flop: Either line is fine, AK by default has to be called once and then you can fold vs the 2nd barrel.
A fish is very likely to take this line with a midpair but he will also have plenty of bluffs and vs a half pot bet you only need to be good like 26-28% of the time. I would probably call the river but it's close.