um, he opened utg 2 and you flat AK
357ss comes and instead of putting villain on a tighter range that includes pocket/overpairs, you bluff raise AK no pair no draw
then you called a semi-bluff donk shove with 2nd nut FD chasing a 15 outter on turn

does that about sums up what the fuck this is?

i had backdoor clubs and raised the flop planning to fold to further action and shove any K or A river
caught backdoor draw on turn and he shoved into me anyway. The call might have been questionable but the rest of my play was fine i think

--- Nuked ---

the flop raise is a +EV I think because it balances your raising range after having flatted AKo preflop

Turn call was bad but I don't see what the problem is!

by the way my equity goes up on the turn

Because on the flop you only fold out hands worse than yours. I think its highly unlikely that he's folding what, 88s or better?
On the turn your equity does improve, but theres a difference between you bet/commit compared to calling an all in because if you're the aggressor, you get the added $ from times when he folds his marginal overpair thinking maybe you somehow got there or he wimps out etc. etc.
Also, on turn there are times where he can be on two clubs, further decreasing your equity. The thing is, against his 56 hand, your play doesn't look too atrociously bad. But if he had what, AQcc (not out of the question?) or AcAx, 56cc, 89cc, etc. what does the math look like then?
btw I hardly think raising flop against UTG1 is +EV, but I dont exactly play FR so I won't focus too much on that. Long story short, I hate just about everything you did in this hand from flatting preflop, bluff raising flop and calling turn jam