There is no continuity of subjective experience even within the same brain, you can be deeply unconscious for extended periods of time and come back.
From the outside, an "identical clone" is indistinguishable.
On the inside, the clone feels exactly how you would feel.
The only problem is the "I don't want my 'me' to die" feeling.
I bet most people would be fine with death/rebirth teleportation.
There is no continuity of subjective experience even within the same brain, you can be deeply unconscious for extended periods of time and come back.