Can I use this card's [All Turns] effect to play a [Petrification] Token during the turn I activated BT8-097 [Crimson Blaze]'s [Main] effect?
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Yes, you can. This card's [All Turns] effect plays one of your cards. Cards can be played by your effects even after a "your opponent can't play Digimon by effects" effect has activated.
Source: BT21-029 Medusamon