NieR: Automata's 3C3C1D119440927 DLC unlocks three challenging Colosseums. After receiving the Mysterious Letter, you'll need to locate these arenas to earn unique rewards. Here's a guide to their locations:
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Trial of the Sand Colosseum Location
This Colosseum is situated in the desert. From the "Desert: Center" access point, look to the right (facing the desert entrance) for an orange diamond-shaped marker. A machine guards the entrance, but it poses no threat. Completing this Colosseum to Rank S rewards the Destroyer Outfit (A2).
Gambler's Colosseum Location
Located in the Flooded City, access this Colosseum from the "Flooded City: Coast" access point. Follow the path towards the coast (the same route used to protect the resource ship). At the end, locate a waterfall to the right. Circle around the building to the left of the waterfall to find a Resistance member guarding the entrance. Bribe him with 1,000 G to enter. A Rank S completion grants the Revealing Outfit (2B).
Underground Colosseum Location
9S ONLY: This Colosseum is accessible only when playing as 9S. Start at the "Forest Zone: Center" access point. Follow the left edge of the forest until you find machines training near a large waterfall. Pass through the waterfall to access the Colosseum. Achieving Rank S unlocks the Young Man's Outfit (9S).