Pre-flop math vs perceived AAxx 3b and Cold 4b

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Posted by posted in Mid Stakes

Pre-flop math vs perceived AAxx 3b and Cold 4b

BN: $294.89
SB: $474.38
BB: $211.42
UTG: $200
HJ: $203 (Hero)
CO: $105
Preflop ($3.00) (6 Players)
Hero was dealt 6 8 4 3
UTG folds, Hero raises to $6, CO raises to $21, BN raises to $72, SB folds, BB folds, Hero raises to $203, and is all in, CO calls $84, and is all in, BN calls $131
Flop ($520.00) K 3 J (3 Players)
Turn ($520.00) K 3 J 4 (3 Players)
River ($520.00) K 3 J 4 8 (3 Players)
Final Pot
Hero has 6 8 4 3 BN has 8 4 K 7 BN wins $315.20 , BN wins $196
My assumptions
-3ber has AAxx 90% and a double suited hand the other 10%
-4ber has AAxx 80% and a double suited hand the other 20%

a- you're against AAxx and AAxx 72% (.8*.9)
b- against one AAxx and one DS 26% (.8*.1) + (.9*.2)
c- and two DS 02% (.2*.1)

Running in Odds Oracle

Equity Calc = .72(.403) + .26(.282) + .02(.261) = 36.5%

Main question is about the math. Did I do it right? And...would adding any other qualifiers to their non AA ranges change things much? Assumptions are read based and not my main concern, although it might be interesting to go into it if anyone want to discuss.
Thanks

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