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The randomness inherent in Pokémon does not by any means prevent it from being competitive. Rather, I could argue that it makes Pokémon more competitive by offering challenges to overcome and tactical decisions to make based on chance.
In real life competitions, chance also factors in. That's how life works, deal with it.
You know what ISN'T competitive? Trying to eliminate the chance factor that the game was designed to have, via banning things that rely on chance.
tl;dr chance is a part of life, deal with it
