I see... now it makes perfect sense, I could be mistaken, but you got wrong some numbers according to the scoresheets found on the internet --> https://imgur.com/2zYfW3m The cyan 20 is on the 2x single line, that makes 2x20 = 40, and the cyan 3 is on the first single part, making it 1x3 = 3, total = 43 for cyan. On the purple, the 4x3 is correct since it is on the 3x single line, but the 9 is also on second part of singles, making it 1x9 = 9, total 12 + 9 = 21 for purple. Finally, for yellow, 8 is on the first single part, and 2 is on the 2x single line, making it 8 + 4 = 12 for purple. As for the logic on the puzzle, I did in fact try to sum in the way you described but since I had the wrong number, there was no way to win this puzzle. Thanks for the help
EDIT: Nevermind this comment, just found out a Hint Paper you left inside the platinum chest that would make this puzzle possible to pass. It was just carelessness of my part to not look around enough.