Hey, thanks for playing and for the feedback! What exactly do you mean by your suggestion? Do you mean during the first two days, when you’re can't cheat? Otherwise, why is it a disadvantage for the player to draw first?
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Drawing first means you are the first one who can get busted. Furthermore, when you are counting cards to calculate your chances, you will have more information than your peers if you sit later at the table. Therefore, acting later provides an information advantage over other players. To keep the game fair, it is better to switch the starting player each round. For example, the new round could start with the player who earned the most in the previous round, or the one who drew the last card.