There are two players sitting at a $100nl game with $150+ a piece. MP guy raises with AK to $3. It’s folded around to the BB who reraises to $9. MP calls.

Flop ($18.50)
3[d]7[s]K[c]
BB bets $14
MP raises $35
BB reraises all in for $100+
MP waits and finally calls.

Do you even consider calling this with AK? MP guy called and it ended up being a split pot. MP said “That was a tough call, but I put you on AK.” My thinking is that you can put the BB on three possible hands AK, AA or KK and at best you are splitting. Am I wrong to think this is an easy fold?