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What the word I could use in this situation:

I don't know will it happen or no, but in my mind or in my imagination I can admit/allow that it can happen and I can clearly imagine it's outcome.

I can admit/allow in my head that in the future we might become as a friends. But it's nothing else but my assumption.

Admit / allow / or maybe assume 🤔

See a translation

I would use “imagine” for both of these. Admit and allow are both like somebody else suggested it and you agree but you are not really sure. “Assume” would be used only if you are taking an action based on the thought. Like, “I assumed you would accept my invitation, SO I already bought the tickets”, or “I assumed we would become friends in the future, SO I asked you when your birthday is, so that I could put it in my calendar”. If you didn’t take any action, then you just “envisage” becoming friends in the future, or you “imagine” or “visualise” this happening