I would have added something to the effect of our hand being fairly easy to read if I thought our opponent was doing this. betting 3 streets with a pair on board in a multi-way limped pot is usually trips. we have a pretty weak hand if you take this into account.

if our opp is putting us on a K, he can safely check-call flop and turn and CRAI on the river when he has us beat because we aren't going to be doing a lot of checking in this hand, and if we aren't drawing dead, we are drawing pretty damn thin.