[NL100] AK gets minraised by 60bb stack, in position

[Ranma4703]

Villain just sat down, this is his first hand at the table. I raise UTG+1 to $3.50 with AK, he minreraises out of the big blind. Should I just push here? 4bet large? I ended up just calling and folding the 347 flush draw flop. I had non of the suits. Should I have pushed over his cbet? Or did I play it fine?

[vetiver]

Vs. 60bb I'd shove here for the reason your hand as played out elucidates.