Amaze Attraction Rapid Racing (Common)

Target 1 Amazement monster you control or 1 face-up monster your opponent controls; equip this card to it. You can activate this effect, based on the equipped monster's controller.
? You: Target 1 card in your opponent's GY; change the equipped monster's battle position, and if you do, shuffle that target into the Deck.
? Your opponent: Increase the equipped monster's Level by 1 (until the end of this turn), and if you do, change its battle position.
You can only use this effect of Amaze Attraction Rapid Racing once per turn.