I think the answers to the four questions clearly indicate you are wrong. This new game should be called "22", not BJ. Player getting 22 beats the dealer who gets 21, 20, 19, 18 or 17. Dealer getting 22 beats the players who gets 21, 20, 19, 18 or 17.
6.91% house edge is not the right assessment for this game. When the game basically stays the same as BJ except dealer push 22 then it increases house edge by 6.91%. But this is a totally new game. Players can get to 22 and win the hand.
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