Scenario 1
Person A walks in, is copied at another location, Person A* walks out, Person A is broken down
In this case, it is clear that A and A* are not the same since they exist independently of each other at the same time; it would be like identical twins or a clone, someone identical to you that is not your version of you.
Scenario 2
Person A walks in, is broken down and copied at another location, Person A* walks out.
This is the same as #1 except for the fact that both versions do not exist at the same time. I therefore see no reason why it would still be you in light of #1.
Scenario 3
Person A walks in and has their exact same matter broken down and sent to the new location. Person A* walks out.
In this case it seems clear that it is still the same person.
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