In 'Busy Beaver: Collatz Chaos', you play as a brilliant but eccentric computational philosopher named Algie. Algie finds himself trapped in a metaphysical realm where the rules of computation govern reality. As he navigates through levels represented by various Turing machines and their corresponding Collatz-like trajectories, he must solve intricate puzzles about the nature of computation, existence, and the very essence of what it means to 'do the most' with the least. Each puzzle you solve brings Algie closer to uncovering the secrets of the Busy Beaver champions and ultimately confronting the 'Collatz Conundrum' that holds the key to his escape. But beware, as existential anomalies abound and choices affect not only Algie's fate but also the fabric of computation itself.