Both of them. One reason that answer may sound nonsensical is that it sounds like it'd imply you somehow perceive out of both bodies with no connection between them, but that would miss that people are a type of system that change over time in response to physical stimuli, and the two bodies are immediately getting different inputs. My view is that the two will diverge into different people as a result, but that both of those people have just as correct a claim to being the person that stepped into the machine as you have to claim that you are the same person that started reading this a few moments ago, with neither one being the "fake" or "real" version.
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