Notes
This sort of driven conical pendulum is actually rather complicated. The paper below details a similar system as a way of understanding a spinning chain.
https://iopscience.iop.org/article/10.1088/1361-6404/abe6b2
What I observed was that the pendulum would often oscillate around an azimuthal angle, and when driven faster it the pendulum could cross over the axis of rotation. In short, don't spend too much time trying to get it to behave; it won't.