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QQ-TT,33,AQs+,AsTs,KcQc,KdQd,KhQh,KJs-KTs,QTs,JTs,Ts9s,AQo+,KTo+,QTo,JTo
3+3+3,3,2+3,1,1,0,1,2+1,2,2,3,9+6,4+5+4,7,7
I count 72 combos in villain's donking range (for example KdQd can't be there as Kd is on the flop)
Calling range:
JJ-TT,33,AQs+,KJs-KTs,JTs,AQo+,KJo-KTo,JTo
3+3,3,2+3,2+1,2,9+6,4+5,7 = 50 combos
So he folds 27/77 = 35% of the time and you have 35.6% equity when called
To calculate the minimum fold equity you need for a semi-bluff to be +EV, you first calculate your risk, which is the amount you are about to put in the pot decreased by your equity in the total pot when called:
risk = 12.57 - 0.356*31.99 = 1.18
And in a bluff, you need him to fold more than risk/(risk+pot) = 1.18/(1.18+9.85) = 10.7% of the time.
Since he folds 35% of the time, the shove is +EV. As a bonus, you could calculate the exact EV (I got $5.99).
Now whether it is more +EV to just call is another story and you can try to caclulate that as well. At a glance though, your semi-bluff does not fold many better hands and does not get called by worse hands. On the other hand, when you hit the river, it's with a scare card which could well prevent you to get paid. Instinctively, I shove the turn.
edit: I mean that I shove the turn assuming the ranges you assigned him are correct. I think it's very arguable whether he donks this turn with a pair or two pairs, or even bets so small with a set. If he only does that with the nut straight, obviously calling is better.
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