cr:6.2.2c

If a layer-continuous effect starts to apply to an object, it continues to apply to that object even if the properties of that object change.

Example: Cut Deep has the text “Your next dagger attack this turn gets +4{p}.” If the player plays Cut Deep, then Kiss of Death (a dagger attack action card), and finally Take Up the Mantle turning the Kiss of Death into a non-dagger attack; even though it does not have the dagger type anymore, the effect of Cut Deep still applies to the object.