I know it is possible to remove the bridge cover on the Majesty (read it on some posts here on the forum) and then reinstall it, but what's the right way to do it?
IIRC you need to unscrew the cover from underneath the baseplate, which may require removing the tremolo unit from the guitar (example: while doing a full restring).
If you are simply wanting to set the intonation, that can be done with an allen/hex wrench through the cover.
To add to what Pete said, yes, it is removable from the underside of the bridge, there are two screws (one on each side) to secure it to the bridge plate.
You will need to remove the strings, and the trem springs to fully access it. Caution - when you remove the strings its a good idea to place something under the backside of the bridge to pad it from resting on the body. When the trem springs are removed the entire unit will (and can) fall out so use caution and just pull it out enough to access those screws. You may need to deal with with the piezo wire as well.