Yes! Wine beer mimosas and bloddy Mary's. No mixed drinks. I work here.
ETA, that one of the workers later responded to say they do serve alcohol. Looks like it's just wine, beer, and basic drinks like bloody mary's, per the menu screenshots uploaded here. Also as I remember, The Burgundy(Irving Park/Austin) is a diner that serves mixed drinks, if you're looking for that.
I ate breakfast at Golden Apple. I did not look to see if they do serve alcohol. Sorry.
Thanks! Your answer is awaiting moderation.