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The Door (1 1 1)
The Uniswap app does not route this pool: its hook takes the fee as a return delta, and the app's router refuses such pools. The Door is a small contract that swaps straight against the pool through the PoolManager, keeps nothing between calls, and takes a minimum out on every call.
Quotes come from the pool's own state, read now, with the hook's 1% taken from the ETH side, and are checked by simulating the Door call when your RPC allows it. Prices move between the quote and the block; the minimum out protects you, nothing else does.
A sell needs one approval first (the Door moves exactly the coins you sell). Selling more than the pool can take sells what fits and gives the rest back.