Lap those zee rings with something like this- https://www.amazon.com/Wheeler-633-266-Scope-Alignment-Lapping/dp/B0052SXT8U
You could put a small amount of super glue on the scope where it touches the rings. I would imaging lapping them will do the trick tho. If you dont like the idea of glue, and lapping them dosent work, then put a dust coat of pine rosin on the inside of the rings.
Lapping instructions- https://youtu.be/fTIY9cZlpPs
Some guys use loctite (i use blue) and some just degrease and torque. Either way works if done right.
Good luck