Suppose you do it ship-of-theseus style, one neuron at a time (or heck, one atom at a time if you want). In that case I'd find it hard to argue for your position.
dd for a human amirite? Maybe one atom at a time, but you'd have to make sure you get all the bacteria that helps control your personality as well right?[1] Then you need to simulate the changes in that system, based on how you interact with the rest of a virtual world, including relationships with other people[2], so you'd have to have an accurate copy of that too. What do you do if your virtual self needs to interact with a still living, breathing human? How do you simulate the changes to your micro-biome that occur there? How do you simulate what your copied human "eats" and how it processes that food?[3] Having a copy of all your atoms is a start but you also need to simulate all of those processes accurately if you want it to be truly "you."
Then what you end up with is -- assuming we know everything that makes up a human being and how it behaves -- a perfect copy of you along with a perfect copy of your world.
[1] https://www.ucsf.edu/news/2014/08/116526/do-gut-bacteria-rul...
[2] https://www.nature.com/articles/s41598-018-37298-9
[3] http://www.wormbook.org/chapters/www_intermetabolism/interme...
There is no 'you' - just an unbroken chain of chemical interactions stretching back to the first self-replicating molecule. 'You' is a concept that the pattern replicating event predictor engine that evolved to live in your skull is desperately clinging to. It has no real physical basis.
I probably should have just said that IMO we humans don't know the beginning of what consciousness is.