But we are the same on that, that's what "same" means.

We are not the same person, because we are different in some other characteristics and in our circumstances.

What's the reason you and your copy are not the same?

I don't understand your point. Are we 'same' (your first sentence) or are we not 'same' (your second sentence)?

My copy and I are different persons because my copy has its own mind in its own brain in its own body. Just like you and I. Why would there be any more reason to think my copy and I are the same self, than to think you and I are the same self?

Again, how do you resolve making several copies?

[edited some formulations to make it clearer]

Different copies are the same at moment zero (after copying) and diverge after that, assuming different stimulus.

Sure, but that's not related to my statement.