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 separate 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 separate 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.