"A Mystery for You" is an educational game designed to develop critical thinking and fact-checking skills in young learners. The game combines a Large Language Model (LLM) with a tangible interface, creating a generative investigative experience where players act as citizen fact-checkers. By eliminating traditional touchscreen interactions, the game promotes thoughtful engagement through a haptically rich Large Language Object (LLO). The LLM generates unique and ambiguous scenarios in each playthrough, while the physical mechanics of the LLO provide structured interactions, balancing the unpredictability of AI with player agency. This innovative approach leverages and manages ambiguity to enhance the investigative experience and game replayability factor while building media literacy skills.