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Well, Sir, there is one very simple answer
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Come on'n get your jamaharon on! There are no real rules—just don't break the weather control network.
People are justifiably creeped out by Barkley and his holodeck antics, but the transporter can sneaky clone people and nobody in that universe is suspicious about it.
Its not even a sneaky clone. They straight out copy, vaporize then buffer your ass in some computers chips. They then point your bits and bobs at an end point and slap the "CLONE THERE!" button.
They're really casual with that word "buffer." They admit that they always have a copy of you on file just in case. Someone can correct me if I'm wrong, but when the TNG crew were turned into kids, the transporter folks were like "hey, why don't we just use the old bodies that we have saved in the buffer?"
Side note: if you can do that and retain your memories, by their rules haven't they invented an immortality machine?
Toss it on the pile with the Khan blood and the rest of the immortality methods we see once and then never hear of again.