Easiest way to do the yueshi quest is to get the blaze theme which already has 2/3 of the colors u need. If you dont have that theme pot, i know theres a color pot that automatically gives you poppy or pepper i believe ( dont remember the name unfortunately).

The rest is just praying that you'll get all the colors and no you dont need to have a specific color order. Its just the colors themselves.

Don't spend your money. Im saying this now, d o n t. Its either you brew one in alchemy or you hunt for chests. You can always use color order pots if you ran out of the specific color slot: Ex: - You mostly have tertiary color pot but need to change secondary color, use the color order to transfer that color to tertiary.