Ask Again Later
From Archon Arcana - The KeyForge Wiki
Ask Again Later • • 38th Card • Special • Each time your opponent chooses their active house, they must name a house on your identity card. Reveal the top card of your deck. If the revealed card does not match the named house, fulfill Ask Again Later. • Artist: Tony Gromo • Card Number: PV:P01
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Each time your opponent chooses their active house, they must name a house on your identity card. Reveal the top card of your deck. If the revealed card does not match the named house, fulfill Ask Again Later.
PV P01
Artist: Tony Gromo
Commentary
With the exception of draw, if an ability references the top card of the deck and the deck is empty, the discard pile is not shuffled to form a new deck.
Source: Crucible Cast 4
"Each time" in KeyForge timing is the same window as "After" effects. So in the case of Ask Again Later, after your opponent chooses their active house, they name a house on your identity card and if the card revealed from your deck doesn't match the named house, Ask Again Later gets fulfilled. This timing window is the same as Giant Gnawbill and Snag’s Mirror.
Source: Prophecies and Their Timing