Place it immediately after the absurd claim in your edit, letting the claim itself set up the joke. Open with the You What reaction for confusion, then cut to this clip as the verdict, and finish with the Law and Order Dun Dun sting to close the moment with mock seriousness.
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This is a short voice clip of Dale Gribble from King of the Hill delivering a blunt, deadpan 'Nonsense' in about three seconds. His flat, self-assured delivery makes the dismissal feel smug and funny rather than angry, like a conspiracy-minded neighbour shutting down an idea he refuses to entertain. It comes from the long-running animated sitcom King of the Hill.