Except we have no idea if this is correct. Moreover this is no way even in principle (with advanced tech) to verify this claim:
Nor is this verifiable, even in principle,
Moreover IIT has well known incoherence. It is almost certainly a false theory of consciousness, even though it is all we have.
This raises a well known philosophical problem, the problem of “continuity of the self.”
It is somewhat related to the the Delphic Boat: “about whether a boat whose rotted planks have all been replaced is still the same boat.”
Or, more relevant is the The Prestige (film): https://en.wikipedia.org/wiki/The_Prestige_(film.)
Well, we are trafficking in science fiction here, or theological imagination. It is questions like this, however, that convince many philosophers to take a substance-dualism view of the soul. Though, if the only entity capable of doing this is God, substance dualism may not be necessary, because God might just only do this in a way that does not violate our sense of self.