Defending a 3b shove 100bb deep

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Defending a 3b shove 100bb deep

Blinds: $0.25/$0.50 (8 Players) MP: $50.00
UTG+1: $50.00
MP+1: $52.72 (Hero)
CO: $50.00
BN: $15.66
SB: $50.00
BB: $50.00
UTG: $39.60
17/5 248
3b 6.5
Preflop ($0.75) Hero is MP+1 with Q Q
3 folds, Hero raises to $1.50, 3 folds, BB raises to $50.00 and is all in, Hero
What would be the bottom of your defending range vs this guy and in general?
Given the rake, we need to be good at 50% or more.
Vs a range JJ+,AQs,AKo, we have 48,36%. If we add TT, we have a +ev call.
If we hold AKs, he needs to play even AQo this way. In case we have AKo, he needs to find some AJ taking this line.

So, to me it seems that QQ are slightly +ev call, AKs is gonna be somewhat breakeven/-ev and AKo would be a bit -ev

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