If the 3 cards revealed for this card's [Main] effect don't include a card with the [LIBERATOR] trait, can I still play 1 card with the [LIBERATOR] trait and a play cost of 3 or less from my hand without paying the cost?
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Official Ruling
Yes, you can. You can activate the part of the effect after "then" regardless of whether or not you could add a card with the [LIBERATOR] trait to your hand.
Source: P-151 Digimon Liberator