Everyone is a moon, with a side they never show. A rogue ninja, a Jujutsu Sorcerer, an alien, and a cross-dressing man. The four of them, all concealing their identities from each other, still become close friends at an all-girls' school... So, who's going to be the last one eliminated? In short, this is a story about a rogue ninja from the Village Hidden in the Leaves, a Jujutsu Sorcerer who doesn't want to fight Sukuna, an Eldia native who crash-landed on Earth, and a cross-dressing man with psychic powers. They hide their identities from each other while gradually setting off on a harem-building spree.
P.S. The title was missing a few words. This book is also known as: "A Crossover: With Mind-Reading, I Play a Manhunt Game at an All-Girls' School!" (A mashup of Attack on Titan, Naruto, and Jujutsu Kaisen. No System, no simulator. A Werewolf-style game.) (I'm bad at writing blurbs, so check the comments or the main text. The male lead isn't a traditional beta male, and he's not effeminate.)