The term reborn, or born again, is somewhat misleading. One is not actually reborn into something or as someone else.
With the disassociation from the physical body-brain and the psychological ego, one only "returns" to one's original state of existence. This original state has been forgotten for so long that when it is returned to it seems like one is a completely new person, as one actually is in a sense. The psychological egoic state of mind is opposite and opposed to one's true state of mind or consciousness.
One does not attain a new life. One only "returns" to one's original eternal life.