as batista already pointed out, this already applies to biological humans due to cell death and regeneration, so it's a very pressing philosophical problem!

how old do i need to be before holding a funeral for my past self?

what about special ceremonies for people coming out of medical sedation or comas or just waking up in the morning? a "fractional welcome to the universe party" seems in order, as the person is not really the same one that used to exist.

if upload tech like batista describes is ever created, we will probably give the resulting person the same common sense benefit of the doubt we give to people in the above cases.

This is about whether something that had it's parts replaced remains the same "thing" - but we were talking about consciousness here, and there would be no copy nor consciousness gap with the described process.

Plus, this problem is solved in practice for us humans anyway: all of our cells are regenerated and replaced by new ones every few years, yet we consider ourselves to be the same persons.