Amaze Attraction Rapid Racing

Target 1 "Amazement" monster you control or 1 face-up monster your opponent controls; equip this card to it. You can activate the following effect, based on which player controls the equipped monster;
● 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.