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Set aside cards always get counters during the upkeep phase (draw, upkeep, prep) and return during the preparation phase. You may choose when during your preparation phase they return.
During whose upkeep are counters placed on set aside cards? For instance, if Pretension is used to set aside an opponents Hero, are counters placed on the player who used Pretension upkeep phase, or the opponents upkeep phase?
I believe browarod is correct and that you have to draw first but would you be able to play dominants during your opponent's discard phase even if they say it's your turn? In other words, if your opponent declares that he/she is done discarding and that it's your turn can you play a dominant still technically on their turn before drawing?