At first this puzzle appears to lend itself to many different debonding strategies a la Cuprite. The input breaks down neatly into halves, but not thirds or sixths. The key pivot I used to send both halves down the same pipeline proved invaluable for debonding and outputting. It's a pretty good solve. But it's not magic.

The more I looked for magic, the more it became clear that there will be better solves out there. My idea for magic involved a tri arm that grabs, pivots, drops, then rotates. It seemed extremely promising. If I do have to eat a tissue, I'm hoping that I have to eat two or three of them.