The binding problem is complex. And our lack of understanding how it works is why we can't program a computer to have it.
That's a fallacy. Humans do things they don't understand all the time. Humans have been working with complex organic molecules for thousands of years. Humans started using CO2 to change the climate before they understood it. Humans made airplanes before they understood the aerodynamics of an aerofoil. Humans used genetics to engineer an entirely new species, dogs, before they knew what DNA is. And human scientists spent hundreds of years thinking dogs have no feelings because dogs can't talk. Humans are always doing stuff they don't understand.
Your entire argument boils down to "I dunno why neural networks produce qualia, and therefore there's absolutely zero chance our artificial neural networks produce qualia."