Damage Gate lets you Special Summon a monster from the Graveyard with less ATK than the battle damage you took from an opponent's attack. With that being said, Labyrinth Wall has 0 ATK, so you can special summon it after taking any amount of battle damage.
Using this card's effect, you can set Labyrinth Wall face-down without needing any tribute. This will keep it hidden, making your opponent unable to switch the position and attack it first to flip it up.
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