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Gonna do an autismlocke, running all games of the same gen at once. Standards nuzlocke rules, with two added for this specific challenge: A mon can only be caught once across all four trainers, this way everyone will have distinct teams. Also each of the four must reach the next "checkpoint" before going ahead, usually meaning badges, and in Gen I also Rocket Corner/Pokemon Tower, and Silph Co.
Not sure how feasible it will be in later gens, but I'll try it anyways. One of these four will have to take a break once I move unto gen 2, but I'll have them come back with a friend for the remakes in Gen 4, etc.