Nope, ran it and you are waay ahead, that's an autocall interestingly, funny I thought you would be in much worse shape, shame on me, do note though that not all parts of his range have the same possibility to appear there, as you already noted:
*******Equity*****Win*****Tie
MP1****72.87%**72.42%***0.45%*{ QhQs }
BU*****27.13%**26.68%***0.45%*{ 22+, AKs, JTs, 87s, 75s, 62s+, 54s, 43s, AcQc, KcQc, AcJc, KcJc, QcJc, AcTc, KcTc, QcTc, Ac9c, Kc9c, Jc9c, Ac8c, Ac7c, Ac6c, Ac5c, Ac4c, Ac3c, Ac2c, AJo+, KJo+, 87o, 75o, 65o, Ac6d, Ac6h, Ac6s, Ad5c, Ah5c, As5c, Kd5c, Kh5c, Ks5c, Qd5c, Qh5c, Qs5c }
Edit: Lol I forgot to put flop in the first measurement, left it there just for lolz, call is breakeven given pot odds and if you calculate the fact that the strongest part appears more often, you may find a fold there. It's close though.
Board: 3
6
4
*******Equity*****Win*****Tie
MP1****59.30%**57.91%***1.39%*{ QhQs }
BU*****40.70%**39.31%***1.39%*{ 22+, AKs, JTs, 87s, 75s, 62s+, 54s, 43s, AcQc, KcQc, AcJc, KcJc, QcJc, AcTc, KcTc, QcTc, Ac9c, Kc9c, Jc9c, Ac8c, Ac7c, Ac6c, Ac5c, Ac4c, Ac3c, Ac2c, AJo+, KJo+, 87o, 75o, 65o, Ac6d, Ac6h, Ac6s, Ad5c, Ah5c, As5c, Kd5c, Kh5c, Ks5c, Qd5c, Qh5c, Qs5c }