I know I made a mistake and I know were I think I made it. Were do you guys think I messed up

So I was playing 10/20 no limit at absolute poker, I had been at this table for about an hr, and I had a good read on the players. Hell I have played these folks before and I think I have a good read on most of them. I had made about 1200 hundred and cashed out and bought back in with 1k. I can’t remember the exact details but this is roughly what happened

Im one off the botton and I get dealt AK o/s

MP bets out 30

I raise to 60

Big blind calls 60

MP calls as well.

Flop comes out rag, A(d) K (d)

Big blind bets out 130

MP calls

I re-raise to 260

(At this point I re-raised to 260 only because I knew that the big blind had bet this to rep the ace, or to protect a ace with a weak kicker. I had seen him do this before and he was semi lose while the rest of the table was tight. He would pick up orphan pots left right and centre I was trying to trap him. He could have been on a flush draw but I don’t think he would have raised that 130 on a flush draw. He didn’t like playing flush draws. Don’t ask me why)

Big blind calls

MP folds

Turn comes out a six of clubs

He raises 250. I go all in with the rest of my stack and were siting at over 2k in the pot.

The river is another six and hes holding an A 6 (fullhouse) and I have 2 pair with aa kk.

Were do you think I messed up? I feel I should have raised more on the pre-flop to narrow it down more and I should have bet about 350ish on the flop. Comments?