Yes, but we're suggesting a clean mental break in some senses from your cognitions POV. Both of you would be the real you, except to each other. The Hermetic tradition has some texts that delve into how God cannot be contained within the universe because he exists outside of it. In some senses, it would be downright insane to ponder the ramifications of this.

After the first 'Clone Settlement' and the pains of splitting someone's belongings between the same person; it would have to be made illegal. No other way around it.

Which one is the original? Say we aren't making a computer copy but duplicate of your body. And we might have messed up the labels.

How do you tell which one is the original? Atoms don't have labels. But atom-level copy isn't possible. Say we made the scan at large enough scale that has fidelity but it isn't identical.

>Which one is the original? Say we aren't making a computer copy but duplicate of your body. And we might have messed up the labels.

Reality doesn't care about the labels. One of the two pre-existed, which is the original.

>How do you tell which one is the original? Atoms don't have labels.

That's a problem regarding our knowledge. There's still an original, regardless if we know which or not.

There's an original even regardless whether the original has a way to prove to themselves they are so (as opposed to simply believing they are, which the clone would believe too).