I had an Evans Rolletto Jr. console slot that was broken in three spots. I used a glue that I bought from McMaster Carr in Illinois. They are similar to Grainger. Anyway, that was years ago and I don't remember the name of the glue, but it was a two part epoxy for glass. I believe it was a 3M product. The people at McMaster Carr are very knowledgeable and can probably point you in the right direction. I know when my piece was done, I could extend it out and it did not fall apart. This glass was aprox. three feet by two foot. It had some weight to it. Here's a picture of it before I repaired it. I don't have an after shot, but I did make a video of the game before I sold it. You can scan the video to see the repair (1:50 sec.). Light goes through where the paint was lost on the numbers. The stuff worked great but this was a piece that needs to open to repair the game and I was afraid that the glass would eventually fall out and shatter more. If yours is secure, leave it alone. If you must glue it, call McMaster Carr, they will help.
https://www.youtube.com/watch?v=n6I5j8Niy1I