Glowforge dimensions are 38" x 20.75" x 8.25". The feet are about 1.5" in from the left and right edge of the unit, so that table will be a little small — but the Glowforge will sit on it. It might be precarious, though, since a nudge to either side could slide the feet off the edge.
Worst case scenario, you can lay a board across it with supports to extend the top.
It would be a simple matter to get 1/2 or 3/4" plywood 24 x 48 and fasten it to the top of the table. I had some industrial shelves that were a hair small, but also a piece of foam PVC board of those dimensions that the machine has lived on for for over two years now. You might find it a bit high, but you would have a terrific place to keep materials
To further the idea of cutting away the front portion of that top storage area to provide access, you could then build a simple drawer that slides through the new opening to provide more storage flexibility.
These tool chests are built from pretty thin metal, and the lid is not designed to hold weight, so removing any of the front will dramatically reduce support for the lid. Keep in mind, the majority of the front is already cut away for the existing drawers.
With the front cut away, I could see the whole thing buckling under the weight of the GF.
If it was me, I would likely cut wood to provide support at the sides to support the lid, just for extra insurance - not that the inner tray is designed to hold that much weight either.
(I couldn’t help envisioning a line at the IKEA returns counter with flat carts of completed furniture and stacks of packing material… HF has a generous return or replacement policy, but I’d love to see you get it back into the original flat-pack in sellable condition!)