For sure, at the end of the day we cannot prove something that is unprovable.
And we both know that.
We're getting there.
Of course, it's impossible to prove something that is unprovable. Who would really argue otherwise?
Of course, some things are true that can't be proved. We both know that as well. For example, assuming your great-grandparents had dinner on the 4th of April 1895 which they probably did, what did they eat? We don't know. Perhaps they wrote it down. Most likely they didn't. We can't prove it one way or the other. On your thinking, because it can't be proved, it didn't happen. I would agree it can't be proven, but it doesn't mean it didn't happen.
Yet we can follow logical steps of reasoning which might provide some grounds for thinking it happened. For example, most people eat food most days. Great-grandchildren MUST have had some kind of parents who survived. Can we prove EXACTLY what they ate? I suppose we could try and figure out where they lived, and what kind of food was typically eaten by whatever kind of people lived in those parts with that kind of money. But we wouldn't know really. There would be some doubt as to what kind of food was eaten - but we would be pretty sure they did eat.
It's the same with God and religion or spirituality. Some things we will never be able to establish and some things we can deduce from reasoning. Religions exist. We know that. There is a sense of spirituality that belongs only to humans and not other animals. The world didn't make itself. Nor has it always existed. It had a beginning. Why is it that this planet is relatively unique in respect of life?
Coincidences can only go so far. Why is it that EVERY human culture has had a religion of some sort? Why is it that almost every religion has a similar means of salvation? Why is it that despite the millions of planets in the universe, no aliens have conclusively visited our planet?
Doubt is fine. But it's also very personal.