Hmmm. Vegas is built on getting these sort of calculations exactly right. Imagine this is a trial new bartop videogame, and the house needs each deal to be as close to exactly EV neutral as possible with a deck of 52 cards.
If we use the exact specs y'all have provided:
Pot = $10
Mandatory Dark Bet = $100
Rake percentage = 20.62%
Rake amount = $43.30
Rake deducted from each player if there is a chop = $16.65
Call range as provided: 55+, A7s+, KTs+, QJs, A9o+, KJo+
Combos in call range: 188
Combos in Any Two Cards:1326
Pot after a call minus rake = 210(1-.2062) = 166.70
Odds of a call happening = 188/1326 = .1418
Odds of a fold happening = (1326-188)/1326 = .8582
When the game runs with these specs, (200 million trials) this is what happens:
Caller will call with frequency .1418
Caller will fold with frequency .8582
The call will win with frequency .6527
The call will lose with frequency .3297
The call will chop with frequency .0176
The expectation value for the potential caller is thus:
(.1418)(.6527)(66.70)-(.1418)(100)(.3297)-(.1418)(16.65)(.0176)
6.1733 - 4.6751 - 0.0415 = 1.4565
The expectation value for the dark shover is thus:
10(.8582) + (66.70)(.1418)(.3297) - (100)(.1418)(.6527) - (16.65)(.1418)(.0176)
8.582 + 3.118 - 9.255 - 0.0415 = 2.4035
House is losing money.