Minotaur

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Each toroidal grid has a unique closed loop from the starting point back to itself. For each final loop, it loops fully around top to bottom some number of times, and fully around left to right another number of times. These ordered pairs of numbers are, in order, (0,3), (0,8), (0,5), (1,3), (1,5); concatenating the digits and reading as letters gives the answer CHEMO.