So the weight on the left is rising, against gravity, as it's spoke moves from the 6 o-clock position to the 9 o-clock position. Something must be pulling it up. And that takes energy/work.
You claim that the weights are in the same position when the wheel stops as when it started. These two states are 1/4 revolution apart. So, if it started to rotate at the beginning of the video, WHY does it stop at the end. If the weights are in the same position and they are the same weight, then it should continue rotating.
But it doesn't. So, what is different? Something must be.
The line that is attached to both the disc and the weight does not release. I could've allowed for that but decided to start on a new build.