Oh no not this rabbit hole!
Reincarnation is not a Buddhist belief, as understood in that an abiding entity continues to persist.
"Would you be surprised to learn that reincarnation is
not a Buddhist teaching?
Reincarnation normally is understood to be the transmigration of a soul to another body after death. There is no such teaching in Buddhism"
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What the Buddha Didn't Teach About Reincarnation
The Buddhist belief is in rebirth - the usual analogy being a flame on a candle lighting another candle. From the link above, my understanding concurs with:
"Being born and dying continues unbroken but changes every moment."