The Patience Is the Whole Argument
You do not win on the logic. You win on the refusal to get rattled.
The delivery rule: the Two Fishes argument is never shouted. It is spoken at TED-talk volume, one calm clause at a time, with the full confidence of a man explaining gravity to a cloud. The moment you get loud, you lose - the format is the patience, and the patience is the point.
Why absurdity + calm works: the position is something nobody asked you to defend. That is what makes it Two Fishes. You are not arguing a real point - you are demonstrating that you will not be rushed, and that demonstration is its own reward. The listener is not convinced of the fish. They are charmed by the fish's owner.
The three-lane answer: in the game, each absurd position has three Corbin-style defenses. One is tight, one is warm, one is a little unhinged. The win-rate is not about which is "correct" - it is about which delivery survives the specific listener you picked.