Thanks for organizing this!
While there are exceptions per class, as well as multiple strong ones per category, here are the ones I personally find the strongest at the moment.
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Weapon: Guard Broadsword. Infinite power buildup.
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Shield: Savior. Barrier.
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Head: Savior. Makes turn 1 a lot stronger and has synergy with many other gear.
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Shoulder: Serpentine. Highest damage output of any shoulder.
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Chest: Royal. Can stack 100% damage resistance against elites.
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Arm: Guard. Can stack 100% crit chance.
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Leg: Dragonguard. Combined with Royal Chest for 100% elite protection.
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Feet: Elven. There is an argument to be made that gaining speed is actually bad due to it slowing down the time to complete a battle. These don’t give speed.
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Amulet: Elven. Literally infinite damage at epic+ rarity.
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Belt: Warlord. Highest damage of any belt, same thing as the Guard Broadsword, but belt builds it much slower.
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Ring: Bone. Makes starting turn ridiculously strong.