Place it immediately after the flawed claim in your edit, so it acts as the verdict on what was just said. Follow it with the Law and Order dun dun for a mock-serious ruling, or open with the Windows XP error sound before it to frame the mistake first.
À propos de ce son
This is a very short spoken clip centred on the single word 'Illogical', lasting just under a second. It works as a dry, deadpan dismissal, funny because it frames a bad idea as a simple failure of reasoning instead of starting an argument. It feels calm and certain, like a small verbal eye-roll for moments when the logic in front of you has clearly stopped making sense.