I have a study nook with dimensions 2050mm wide and 550mm deep. I want to build a floating study desk on this area with some floating shelves above it extending the full width of the nook. The desk will be 45cm or 50cm deep (I don't want to use the full depth and want to leave some space to push the chair). I plan to use some timber cleats on the sides (using offcuts) and 6 floating shelf brackets attached to the back wall. The desk will be made of SpecRite 2400 x 900 x 33mm Brown Acacia Multi-Use Timber Panel, and offcuts to be used for top shelves. Will the cleats and floating brackets (31cm deep) provide enough support to the desk? Do I need a centre support (I want to avoid it for looks but don't want to take any risks)