I digivolve this card into a card that has <Digisorption> in my hand, and suspend 1 of my Digimon with the <Digisorption> effect.Can I activate this card's inherited effect and <Draw 1>?
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No, you can't. The Digimon is suspended by <Digisorption> before the digivolution is complete, so the inherited effect cannot be triggered yet.
Source: BT10-048 Sunflowmon