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"the existence of a thing does not prove that it could have come into existence in any different way"

If you accept laws of physics and don't ascribe any metaphysical properties to the thing - then yes it does. It might be unlikely, but you can just put the atoms in a proper configuration and you will have your thing.

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Putting atoms into their proper configuration takes other atoms in their proper configuration, and there's no reason to assume that there is more then one such proper configuration.

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There is actually (because of symmetries in laws of physics).

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