I imagine that it could be done only adding 1.5-3mm or so on top of the TG thickness for this case doing it similarly to shown. Those 4 pins have to hold on the entire pane vertically on the Lian Li case. That's a decent amount of force. With the physical size of the pane as well as the orientation changed, the design requirements are far reduced.
Even if that is the case (4-5mm), the portions where it would be in contact with the plate could be slightly recessed, resulting in a near-zero increase in thickness over standard TG. (You'd have to run the sims on interference here as I don't have that ability.)
Since this is a reversible design, should this approach be pursued, sliding the glass from the back and using thumbscrews and/or a plate as a retaining bracket may be a viable choice.
(Mind you this is 5 am spitballing, and I should probably be asleep.)
There is no tempered glass, side panels will only be acrylic (hopefully scratch resistant ones).