I assumed all P’s have the same mass (P2’s can be excluded). P1 and P3 are always symmetrical about P2. Both P1 and P3 represent the rim; they are just opposite to each other across P2.
The red set approximates the real weight distribution of the yoyo in the picture, and the green set represents a hypothetical center weighted version where the heaviest ring is only as big as the inner cup (think of the 3yo3 Ti5)