Congrats on the machine! Good score..
But please do not think anymore about removing that foam. I think the slightest movement will result in pulling off a large flake of silk screen thus leading to the beginning of the end for that b/g. They are so fragile. If it bothers you so much lit up, buy another (repro) and keep as a spare. I'd take a few good high res photos of it, unlit, w/o glare as well.