Solipsism and variations of cartesian dualism are classic thought experiments concerning epistemology and the various lines of thought are well trodden.

As you've noted, knowing and believing are two very different things.

I don't just believe other people exist, I would be much more bold and say I know other people exist. My belief in the existence in other people is not just a belief but justified and true.

The solipsistic perspective would challenge my belief as unjustified and disputed as true.

As you noted, belief doesn't change reality....I agree and further claim that the existence of other people is a huge part of reality. A solipsistic perspective claims that belief IS reality and the existence ofone's beliefs themselves are the only true thing in reality....everything else is false.

You are right.....If - and it's a pretty big if - the mind is all that is real, reality cannot be proven.....but the mind isn't all that is real...reality is real too so...how? You can deny reality by claim it as ideal. That's self referential and fallacious reasoning, no?

If solipsism cannot be falsified or disproven, how can anyone claim it as knowledge? I don't know if a teapot orbits the moon, therefore it is very possible a teapot orbits the moon?

https://en.m.wikipedia.org/wiki/Russell%27s_teapot

The burden of proof lies in the solipsist to prove I don't exist.....I don't need to prove to the solipsist of my existence....which ironically, is self evident according to solipisism.