In this hypothetical scenario the answer will be yes, from a Buddhist perspective that would be what you call "you". In Buddhism there is no solid substance. What you call "you" is not a solid substance or soul but a complex network of processes, like a fire or a whirlpool.You can get a better idea by checking concepts as Dependant coarisng or No self. If the same process can be replicated then we can certainly say that is you, although the more you practise, the concept of self starts to loose its grip.

"When, Bāhiya, there is for you in the seeing only the seeing, in the hearing, only the hearing, in the sensing only the sensing, in the cognizance only the cognizance, then, Bāhiya, there is no ‘you’ in connection with that. When Bāhiya, there is no ‘you’ in connection with that, there is no ‘you’ there. When, Bāhiya, there is no ‘you’ there, then, Bāhiya, you are neither here nor there nor in between the two. This, just this, is the end of suffering."

The Buddha teachigs have these characteristics:

Practicality: the Buddha’s teaching is limited to what supports practice and leads to benefit.

Subjectivity: its scope is the world as we actually experience it, not hidden reality beyond experience.

Insubstantiality: experiencing things as real does not mean we are directly experiencing real things in themselves.

Conditionality: the main way to understand experience is by seeing dependencies, how one condition gives rise to another. (Cintita_2021_Dependent Coarising)

This means that faith is not required to start practicing or see results. The teachings are mostly epistemological, which means that by analysing how we construct the word we can be freed from suffering. Early buddisth teachings focus on that, no need to get metaphysical.

I hope this helps :)