(Choose any number of permanents and/or players, then give each another counter of each kind already there.) If the last time counter is removed from a permanent with vanishing and the sacrifice ability is countered, that permanent will remain on the battlefield indefinitely with no time counters on it
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Each stun counter stops a creature from untapping for a turn, so if you put three stun counters on a card, it will remain tapped for three turns
Second, the deckbuilding restrictions needed to make this work are real and not really worth it with so many good alternatives about
Thats a big drawback, especially when it comes to the fun factor, since it limits Kozileks interaction to attacking and triggering annihilator