If I were to play a Mishra’s Factory to trigger Amareth the Lustrous, and hold priority to animate the Factory in response to the trigger, will Amareth still only look for a land or will it now see the Factory’s artifact and creature types? That is, when does Amareth “lock-in” what card types it can hit?
Amareth's ability will look at the card types of the permanent that triggered it when her ability resolves. (If the permanent has already left the battlefield, then she'll look at the types it had when it last existed on the battlefield.)
This means that Amareth will see Mishra's Factory as an Artifact Creature Land and let you take any of those types into your hand when you look at the top card of your library.














