Imagine the situation, it is really simple:

You open from the CO with 89s, fishy player on the button calls, blinds folds you are HU with the fish. You don't know much about him, but you have 20-30 hands on him and you see that his stats is like 40/12 kind of a loose passive fish.

Flop: AK2ss.

Basicly a pure FD on a dry board.

My play here is to cbet the flop, but when the fish calls and turn is a blank I think the fish dont fold anything. I mean not much... In my opinion he can call on the flop something like any Ax, K9+, K2s+, 33-QQ, FDs and gutshots. On the turn he will fold his 3rd pairs without FD, maybe sometimes his weak 2nd pairs and thats all. So I dont have much fold equity here.
All the same I usually fire the 2nd and give up on the river when i miss.

Where Im wrong?

What is your thought process in this spot?