I don't think there's really anything you can do. I hate to be pessimistic but that egg is likely to die.
Keep the exposed membrane moist by applying coconut oil to it so it doesn't dry out.. that's the most you can do. I'm really sorry.. those lids are annoying and always try to fall out of hands.
Sorry. The best you can do at this point is keep it from drying out and hope for the best. As long as the yolk stays intact there's some hope. Best of luck