Measure that glass. And the brace isn't necessarily going to be the same thickness, so measure the vertical edges.
I wouldn't be happy unless that was at least 5/8" glass. Maybe 1/2" if tempered. A 4/2/2 will have lots of weight pushing out on those four foot long panels.
If you still want to get rid of that glass panel, you can try replacing it. When I broke mine, I used some mahogany:
That was a long term test. It's been very successful. So this weekend I'm building new strips that are narrower made from aluminum clad with mahogany to match the stand.