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The real problem here is that overenthusiastic anti-conspiracists get into a vicious cycle where they try and suppress conspiracists, which encourages the conspiracists, which further angers the anti-conspiracists.
You are part of the problem. You can either keep battering your head on it until it stops hurting, or play Aikido with the problem. Guess which way minimizes long term stress by anti-conspiracists and public belief in conspiracy theories?
No, you give them a page where the theory is listed, followed by "This is debunked/wrong BECAUSE:" and include the thorough debunking.
Parker