The flavour text hints at Big Circle, therefore we have to use its manual to solve this puzzle.

Using the letters from the middle cog, "U2", we can obtain two lists of three colours. However, the second cog is rotating anti-clockwise, so the second list must be reversed.

By replacing the colours with their corresponding letters on their corresponding cogs, we get the answer to the puzzle.

Letter List of Letters Substituted Letters
U Black, White, Green PLA
2 Blue, Yellow, Red [reversed] YER