Here's a hint for you.
Knowing and proving ain't the same thing. You are "proving" your existence because that is how you get along with the rest of the people on the planet. "Knowing" is how you get along with your 'self'.
You "run in circles" trying to 'prove' your existence because you still think that the 'reflection of the world' has something to do with your Be-ing. The 'world' has nothing to do with you, Be-ing (unless you say so). The "reason" you are running in circles is because you are still looking to prove Be-ing so you can use 'proof' to 'manufacture' certainty in your life. You already know that it doesn't work that way. What was it that was said about insanity? Oh yeh, “Insanity is doing the same thing over and over again hoping for a different result”.
You can "spend a lifetime" ignoring what I just said. If you do, you will 'spend' that lifetime running in circles. Stop looking outside of your 'self' for what you can 'prove' and start looking inside of your 'self' for what you 'know' and stand on that.
Whether you like it or not, or whether you do what I suggest or not, this is the only way out of 'running in circles'. When you look inside your 'self' and stand on what you 'know', you acquire certainty. When you look outside of your 'self' you live in uncertainty attempting to create certainty through 'proof'. Do you want certainty or do you want proof? You already know that you can't do both. Choose.
I would have no experience of myself at all?
If you didn't already "have an experience of your 'self'" you wouldn't "run around in circles trying to prove" your existence, you would just 'graze' like the rest of the animals.
Already having an "experience of self" is what makes you 'human'.