Archmage Ascension

If a spell or ability causes you to put cards in your hand without specifically using the word “draw,” Archmage Ascension’s abilities ignore it.

If an effect would cause you to draw multiple cards while Archmage Ascension has six or more quest counters on it, each individual draw may be replaced by Archmage Ascension’s effect. Process the draws one at a time. Even if you use the reasonable shortcut of finding all of the cards at once and only physically shuffling once, the game will consider you to have searched and shuffled once per card.

Archmage Ascension’s first ability has an “intervening ‘if’ clause.” It won’t trigger at all unless you’ve already drawn two or more cards by the time the end step begins.