I used this card's [Main] effect to to give 1 of my Digimon with [Garurumon] in its name "[On Deletion] Play this card without paying the cost." What happens to the effect if the target Digimon later becomes a Digimon without [Garururmon] in its name by digivolving or <De-Digivolve>?
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Official Ruling
Even if the Digimon becomes a Digimon without [Garurumon] in its name, as long as the conditions were met at the time of activation for this card's effect, the effect will persist until the end of your opponent's turn.