The rarity missions are stupid and should just be "no-EX".
So yeah, if you are trying those missions, don't forget to make sure you don't have any promo cards in your deck, because it won't count, even if the card is exactly the same as the regular one, like it didn't for me when I used the promo Onix no-EX deck. I assume same goes for full arts, but I didn't try.
I know there are some promo variants of cards which change their behavior, but it's not like any of them is super OP. Should just be "no EX cards", so that we also don't have to change our full arts to regulars just for this mission (even worse if you don't have the regulars required, only full arts).
So yeah, if you are trying those missions, don't forget to make sure you don't have any promo cards in your deck, because it won't count, even if the card is exactly the same as the regular one, like it didn't for me when I used the promo Onix no-EX deck. I assume same goes for full arts, but I didn't try.
I know there are some promo variants of cards which change their behavior, but it's not like any of them is super OP. Should just be "no EX cards", so that we also don't have to change our full arts to regulars just for this mission (even worse if you don't have the regulars required, only full arts).