I believe the main difference between European and American Baccarat lies in the rules governing the drawing of the third card. In European Baccarat, the Dealer's decision to draw a third card is based on a more complex set of rules, allowing for more flexibility. In contrast, American Baccarat follows a more rigid set of rules, with the Dealer drawing a third card based on a fixed set of criteria. Additionally, American Baccarat often includes side bets not found in European Baccarat, such as the "Tie" bet. Overall, European Baccarat is considered a more traditional and nuanced version of the game.