Ruling top cut and best of three question

[Radical144]

What happens if the first match in a top cut/best of three situation goes to time and neither player takes a prize?

 

[DNA]

According to the Tournament Rules and Regulations section 22.2.3, if neither player has drawn a prize by the time that Time+3 has expired, it becomes next-prize-wins:

(3) If both players have the same number of Prize cards remaining, the current game continues, starting with any in-between turn effects that take place after the last completed turn, if necessary, until one player has fewer Prize cards remaining than the other. The player with the fewest Prize cards left is considered the winner of the match and the match ends.