I don’t think you have a Ruida controller. Your firmware naming convention is indicative of a Ryxon KT332N controller. Ryxon is sort of a Ruida “clone”. If you do have this controller (the KT332N), it does not have Z axis control capability:
I suspect you do have this controller based on your description of the U buttons controlling your bed.
So I predict (and @LightBurn would need to chime in on this), your bed stepper drivers are signaled by the U axis of the controller / HMI. If this is the case, perhaps LightBurn does not (yet) support remapping Z to U.