I had to reread that a few times cause I thought I was missing something.

For the few times you are beat there, you are ahead a lot more.

Your play looks like a continuation bet followed by demonstrated weakness with the flop call.

The check on the turn says you missed the flop (unless you are really tricky).

Yes you might be beat, but he could easily have a weaker ace.

At the very least call the turn and pay off his A8s, the fold is very weak.