2 limpers, Hero raises to $1.25 UTG+4, BB calls, UTG+3 calls

Flop T9J Pot = 3.75ish

BB has 24ish behind
UTG+3 has 19ish behind
Hero has 23.75 behind holding AK

Hero should?

UTG+3 is loose passive, BB is new, but probably loose passive

You have the K, so I think its def a bet because there is so many turn cards you can continue your aggression on, and you can always check behind some turns if one of the loose passive players calls. You also have pretty good equity. If one of them raises, then you know they have an extremely strong hand. Your A high also isn't going to win a whole lot on this board at showdown, so you don't have to check to "preserve your showdown value".

Also, I would probably fold to a big raise vs a loose passive villain on this board.

#1: Whatever hand they are raising on the flop, probably has your A and K outs crushed
#2 A lot of his hands in his range for raising has blockers for your outs

1. Wrong forum
2. Which position are you in? Playing IP or OOP?
3. It looks like your OOP so you have players acting before you, what is BB doing before you act?
4. All A's (not heart) could still be outs, Q(not heart) are giving you the nuts.
But all you have right now is A high. So an argument could be made for checking and one could be made for cbetting. Without any further reads I would probably x/c

I am in position. OP wasnt explained very well. Checks to me

I don't expect many folds here and I don't think my A or K will be good all that often. It seems very marginal to bet here, and even more marginal to continue barreling loose-passives.