Multiple special conditions can affect the same Pokmon - in the case of effects indicated by turning the card, the most recent condition is the only one applied
As for the current Sword/Shield metagame question, coming from the Brilliant Stars set, we've had Lumineon V BRS 40, which has the same function of when placed from your hand to the bench, it can search for a Supporter card in your deck and place it in your hand
This legendary subset places a heavy focus on beautiful, elegant, and fan-favorite Pokmon alongside iconic trainers
Glass Trumpet From Stellar Crown You can use this card only if you have any Tera Pokmon in play
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Oh and thats not all, as Altaria ex also has a pretty nifty Ability which allows you to heal 20 damage from each of your Pokemon, once per turn, every turn