No. It might copy me atom for atom and then not actually connect the atoms together to form molecules on the copy.

You also didn't mention I would be in a safe place at the time, which means the AI could do it while I was driving along in my car, with me confused why I was suddenly sitting in the passengers seat (the new me is made first, I obviously can't be in the drivers seat) with a 20 dollar bill in my hand while my car veered into oncoming traffic and I die in a car crash.

If an AI actually took the time to explain the specifics of the procedure, and had shown to do it several times with other living beings, and I was doing it an an actual chosen time, and it had been established to have a 99.9999% safety record, then that's different. I would be far more likely to consider it. But the necessary safety measures aren't described to be there, and simply assuming "Safety measures will exist even though I haven't described them." is just not a good idea.

Alternatively, you could offer more than just twenty, since given a sufficiently large amount of money and some heirs, I would be much more willing to take this bet even without guaranteed safety measures. Assuming I could at least be sure the money would be safe (although I doubt I could, since "Actually, your paper cash was right here, but it burned up from the fireball when we used an antimatter-matter reaction used to power the process." is also a possible failure mode.)

But "At some random point in the future, would you like someone very powerful who you don't trust to mess with constituent atoms in a way you don't fully understand and will not be fully described? It'll pay you twenty bucks." Is not really a tempting offer when evaluating risks/rewards.