^ I don't follow. It is a copy; it is also you. The two are not opposed; indeed, they're the same thing. And that's the case whether the copy is technological, as in the case of a digitized brain, or if the copy is organic, like a clone
A clone is not a direct continuation or copy of your consciousness. That's a comic-book cliche that's totally unconnected to reality. A clone is simply an offspring with only one parent contributing genetic material. A clone of yourself would be a completely separate individual with a distinct upbringing and life experience. Your clone wouldn't be "you," it would be your son or daughter. It's a completely wrong analogy for the kind of duplication under discussion here.
As for duplication of the consciousness we are discussing,
Sci's right -- if it's a copy, it's not you. It may think it's you, but from your perspective, your consciousness is still contained within your own skull. If you die and your copy lives on, it may think it's still you, others may think it's still you, but you'll still be dead.
The loophole is if there's a continuity of consciousness between the original and the AI versions of a person. If, say, you were to gradually replace all the neurons in a brain with artificial equivalents, preserving the pattern of the neural network and the continuity of cognitive activity, then that may still be the same original you. The conceit of ST is that this kind of continuity of thought exists during transportation -- your pattern of consciousness is encoded in the transporter pattern within the beam, along with all the other information defining you, and is thus preserved in a continuous state while your particles are disassembled and reassembled. So within that fictional context, we can pretend that the mechanism for transferring a consciousness from one brain to another is similarly a direct continuation of the original rather than a separate copy.
Indeed, we kind of have to, given how much mind-hopping goes on in Trek. Look at "Return to Tomorrow." Kirk, Spock, and Mulhall had their consciousnesses getting transferred all over the place; are we to assume that they actually died and only copies of themselves continued? Then there's Spock's
katra in the movies. Is the revived Spock the same person as the original or a copy who merely thinks he is? It's more emotionally and dramatically satisfying to believe there's a direct continuity throughout the copying process. So if that can be achieved psionically, it should be achievable technologically as well, provided you assume that psionics is a matter of exotic science rather than mysticism.