I compare the process of reincarnation with attending various classes in a schooling institution.
Each incarnation is a class, with a well defined curriculum. You are fully immersed in the class, so you don't think of, or recall who you are outside that class. You don't think of your attending other classes, nor your being outside that school.
In this analogy, looking for proof of reincarnation, would mean proof that you know things you weren't taught in the class you're currently immersed in.
It is like attending a class about cooking, and encountering a quote in Latin, translated or not. If that quote brings into your mind connections from outside the class material, that might be proof you attended another class. If the quote isn't translated, but you understand its meaning, might be proof too. If you struggle with the Latin quote translation and meaning, that might be proof that you didn't pay enough attention in the Latin class.
It is like having a problem in your current life, caused by something from another incarnation of yours.
Realizing that you didn't pay attention in your Latin class won't make you understand the Latin quote, but it will teach you that you have to pay attention and learn from your current class (incarnation), or you'll have future problems in this class, other classes, ... (incarnations).
How would this analogy extend to getting proof of reincarnation in this life?
It would mean to realize that you know things, have skills that weren't acquired in this life, like some aptitudes, inclinations, degree of sophistication in responding to your perceptions.
It may be challenging to discriminate genuine proof from imagination, beliefs, wishful thinking.
###These are AI comments on my analogy:
https://chatgpt.com/share/683f4d7d-d280-8006-9475-81658492b3be
https://grok.com/share/c2hhcmQtMg==_3d260fa0-b2a8-431d-8db1-554705a947ee