Does GE also need to be updated if you get a State ID? They're not a DL, but I'm not sure whether they care about the ID aspect, the driving aspect (or both). I suspect they want to track you're driving, but I'd rather play it safe.

(I had neither State ID nor DL when applying for GE, since I'd just arrived in the country. 3 months later the DMV finally sent me my ID, and I'm not sure whether I need to bring it along to a GE enrollment center, I can easily do that tomorrow or on Saturday when I'm travelling anyways.)