If the cards revealed only include either a Digimon card with [Gaogamon] in its name or a blue Tamer card, can I still add a card to my hand using this effect?
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Yes, as long as either a Digimon card with [Gaogamon] in its name or a blue Tamer card is among the cards revealed, you can add it to your hand.
Source: BT11-020 Gaomon