Can you explain any of this in a way that doesn't boil down to "it's magic and you just have to believe that it's happening because it is?"
But the "hard" problem of consciousness has nothing to do with the contents of the experience, but with explaining how experiencing of any kind is produced by aggregates that themselves do not have any such experiences. The simple answer is that mind (experience, consciousness, whatever you wanna call it) is not produced by matter and is a completely different realm of reality.
Maybe if science simply assumed that mind and matter are different things instead they would have made some progress. For once, the "hard" problem of consciousness would be revealed to not be problem at all. As for non-scientific proof that you have a mind, you can just observe that for yourself in every instant of your own personal experience. No magic involved. If people want to deny their own minds that is up to them.
Two things here:
1) How do you know I have a mind? How do I know you have a mind?
2) What is even your definition of "mind", and why (at least I suspect) is "the ongoing result of information processing facilitated by the complex interlinked network of neurons in the brain" not a satisfactory answer to you?
As for why any materialist explanations are unsatisfactory is that even if you managed to map every physical interaction in a sentient being, you are only mapping physical phenomena. Maybe that is enough to account for how that maps into the contents of the experience.
I am not arguing about how the contents are generated though. I am arguing about the "field" of subjective experiencing, which I called a mind. How is that generated from a set of aggregates that has no subjective experience of any kind? The simplest answer is that it is not, even if those material aggregates are deeply involved in how the contents presented to this field are generated.
Maybe you want to argue that salt "tastes" something when it is dissolved in water, but materialism assumes that simple matter does not have any experience of mental events.