If consciousness are just classical computations there is nothing preventing your consciousness to be copied, it's unclear what that would be like assuming it's even logically possible.
If we assume a cyclic universe a sufficiently similar brain structure to your old brain would emerge an infinite amount of time and thus you would reincarnate an infinite amount of time from a given point and thus your conscious experiences would branch out like a tree. Your consciouss experience now would be the continuation of an infinite amount of conscious experiences from the past-
Thus there wouldn't actually be seperate souls, instead they would all be connected mathematically via a web of continuations and you having a conscious experience in just one body would be an illusion.
If we assume a cyclic universe a sufficiently similar brain structure to your old brain would emerge an infinite amount of time and thus you would reincarnate an infinite amount of time from a given point and thus your conscious experiences would branch out like a tree. Your consciouss experience now would be the continuation of an infinite amount of conscious experiences from the past-
Thus there wouldn't actually be seperate souls, instead they would all be connected mathematically via a web of continuations and you having a conscious experience in just one body would be an illusion.