Hero Btn AdQdTc8c (1600) stack

A Short(160) limps UTG rest folds to cutoff(Cover hero) Who raises to 20.

Hero 3-bets to 40.
So I am very deep and have a VERY TAG image. I have a nice broadway in pos vs the other deep stack who is a bad LAG. I dont know if this can work as isolation since people here ARE super calling happy but still with this hand I dont mind playing it HU or multiway.

Sb and BB calls 40 and straddle(550) pots to 240. I think he is mediocre player at best. I am guessing he is in the AAxx type off but he CAN have other hands aswell. The shorty and deep calls and so does hero(Should I jam here?, seems kinda pointless getting it in vs AAxx but there is shitload off deadmoney there aswell...). Sb jams(300) and bb calls. Rest off players calls aswell. Maybe a little to much info anyway the final pot is 6-way and its about 1500 in the middle.

Flop 7h8h2d (1500 pot) bb jams about 150 so does Straddle 250 deep calls.

Hero Jams

I know the deepstack likes to pot all his made and good hands so I am guessing he is kinda weak. I dont know if the right play here to jam,call or fold? Rest off player can have ANYTHING anyt JTxx,56xx yeah u name it.... I just know here people will repot all their money with AAxx so the only guy I think has it is the straddle. When it comes to me the pot is over 2000 and I have to put in 250. Do I do the right thing and try to get rid off the bigstack? I want to play for the deadmoney in the middle without having to worry about him but perhaps this is wrong off me? I guess my hand is okayish vs anything but a set here. I do have a little backdoor draw euqity and the pot odds is somwhere in the 1/8....

I have never played such a pot before I dont know how much my logic made sense. Is the min3-bet good to build a big pot in pos vs a deepstack? Should I just fold the flop or are the odds do good and I kinda have to cry-call? Anyway any input is welcome I dont know if I made some huge error somwhere or not...

If this helps the analysis: Straddle had AhKs8s3h kinda sad he found the best hand to 3-bet me with but then again I was right in the way I dint think he had AAxx here only. The deepstack had KK56 which he folded after aloth off sighing when I jammed. One off the blinds had JhTh92 and another guy had random hearths. Think the shorty said he had QQxx although it could be QJTx.... Another guy who is my friend asid he folded 3 hearths, kinda brutal that the runout was:

8h7h2dTx9h

I felt kinda dumb after this hand but perhaps I just got overcreative and then the pot-odds seemed to good to fold both pre and on the flop?