This is very interesting from a doctrinal stance.
Traditional Christian theology doesn't consider reincarnation (though it considered in Judaism - Kabbalah teachings)
Do you belong to a particular denomination or were you influenced by the writings of any particular theologian?
I used to be Catholic, but not anymore. I am non-denominational.
When I started reading the Bible many decades ago, I immediately noticed themes of reincarnation interwoven throughout. I would always shrug them off because I was 'told' that reincarnation was not Biblical. One day I had enough and began looking for videos, sermons, websites, etc., that would show why reincarnation was not Biblical. What I discovered was that there was not a single verse in the Bible that debunked reincarnation.
What the Church does is falsely interpret verses to make it sound like the Second Death is 'infinite torments'. Universalists are good at pointing them out and exposing the lies, however they do not believe in reincarnation. They are closest to what I believe, however.
Hebrews 9:27 is the one most often used to try and debunk reincarnation...
"And as it is appointed unto men once to die, but after this the judgment"
They will say, "See? People only die one time"
Of course, this is a lie since the Book of Revelation clearly teaches of a Second Death. Then there are those who died more than once, or never died at all. Then there is the Rapture where those that are alive go to Heaven without dying. There are so many contradictions to the 'die once' dogma.
All Hebrews 9:27 teaches is that once someone dies, they must face judgment. In other words, every death is judged.
I know Origen believed in reincarnation, but he was 'shadow banned' and censored by the social media 'councils' of his time. Same ol same ol.