I found out its probably because you are playing on 4x speed. If you start the game at lower speed multiples you can just place your card and skip to the end of turn with the green button. I tested it and the game works fine on 1x and 2x speed.
I just tested it. Worked first 2 times, but the freezing still happens at that setting for me FYI. Regular 1X speed and skipping with green button as soon as card is selected :/