I remixed the lid/ring to be one piece. I made the lid larger (it's a 193mm diameter circle), and added a built-in ring to the center of it that would hold it in place. The ring is 6mm tall, I originally tried 3mm and wasn't happy with how poorly it locked into place. This design doesn't require glue but I'd recommend securing it with some kind of glue to be safe and more stable.
The zip file has the obj and stuff if you want to open it in tinkercad or whatever, I'm not super familiar with 3D designing.