As the last ability resolves, first you choose a card in hand without revealing it, then each other player in turn order does the same. Then all the chosen cards are discarded at the same time.

If a spell or ability causes an opponent to draw one or more cards, wait until that spell or ability has finished resolving to determine whether Enemy of Enlightenment dies for having 0 toughness. If that spell or ability also causes cards to leave that player's hand, Enemy of Enlightenment may briefly be a 0/0 creature without dying.

The ability that modifies the power and toughness of Enemy of Enlightenment applies only while it's on the battlefield.

If any player can't discard a card, skip that player and each other player discards a card.