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Layer Ball
It's like 5 Pokeballs in one. It will try to catch Pokemon up to 5 times in one throw. First it will catch at a 3x catch rate. If the Pokemon breaks free, it will then try catching it at 2.5x. Then 2x. Then 1.5x. Then 1x. Each "layer" has a different design, and whichever layer successfully catches the Pokemon will be the final design that you're stuck with.