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I always assumed timeline hopping is just something Ame is destined to figure out sooner or later, otherwise Wattropolis wouldn't exist. On that note, I've always had this theory that for all her posturing, Kronii deliberately does not try to take the watch from Ame for one of two reasons: It's either way to much effort with little return or the Ames have consistently shown themselves to be worthy of owning the watch across many timelines.