No amount of uploading your mind will produce an immortal "you". It will only produce a copy of you.
Only if you needlessly insist on doing the "uploading" in a one-off transfer/copy style. No, you do it in a "Ship of Theseus" style.
First you link up your brain with a computer directly to expand your brain's capabilities. After all, neurons transmits and receive electronic signals, there is no fundamental reason (so far known to man) that a computer cannot pretend to another bunch of neurons. Once linked you, your concept of "self" will slowly include the computer.
Then as your brain slowly degenerates as it ages, the computer slowly pick up the slack. Eventually, more and more of "you" would be running on the computer, until the last bit of your brain ceases to function.
If that doesn't work, then we would have found out where in the brain "self" or "soul" resides, that would be the discovery of the century.