The ‘man’ dies, but not the soul, apparently.
That’s an important point. The fleshly man, with it’s attendant ego, isn’t the soul. John Doe as you know him on Earth is not going to exist again. What is essential will go on, and probably wouldn’t want to be forever stuck in the old John Doe narrowness.
The man is the soul. The body dies, then the soul goes to judgement.
We can read all about the judgement in a good bit of detail in Revelation, and there is no outcome of it that offers the possibility of reincarnation. There’s only damnation or resurrection.