I know this may sound stupid, but I’ve got to ask.
According to your statement, the chip labeled U79 has some solder sticking out. I would try and fix that but I have no idea how to desolder it from the board because its casing doesn’t give any indication where to begin with. Could it be resoldered or has it gotten to a point only a new one would help me fix this issue?
As for the inductor, I thought that chip next to U79 was the potentiometer for screen brightness control and the inductor was on the other side of the board (2R2839F component). So could you please confirm that that component is indeed (another) inductor?
Finally, I was told coil whine typically comes from some power converter. Is that why you mentioned if it were you, you’d start by replacing the MAX77620HEWJ IC component? Or were you referring to U79? Considering I’m unable to set the screen brightness up or down (for it will always stay at 100%) during coil whine, should I also consider MAX77620HEWJ as the culprit too?