If a text says "XX card with AA or BB," does that mean AA and BB both have to be XX?
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Yes, both have to be XX.For example, "1 level 4 or lower Digimon card with the [CS] trait or that is yellow or black" means either "1 level 4 or lower Digimon card with the [CS] trait" or "1 level 4 or lower Digimon card that is yellow or black." In both cases, the card must be level 4 or lower.
Source: EX12-031 MarineBullmon