Game didn't end after 3 empty supply piles - Young Witch/Curse

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SgtScorcho

My understanding is that Curse counts as a supply pile for purposes of 3 piles being depleted ending the game.  However in this game (see attached), the game continued.  Might be due to the extra action card pile due to Young Witch.  Am I understanding the rules incorrectly or is this a mistake?

Ingix

The rule is that with 5+ players, 4 piles need to be empty to end the game. The idea being, so many players deplete cards faster than 2 or 3, so 3 piles are empty faster.