If one is just spinning an epoxy type glue would work fine.
I can’t judge by the size of the hole in the picture. Do you have the stud that goes into it? Post a picture of it side by side with the hole if you would please. Otherwise just dig up a new one that’s similar in size and epoxy it in as well.
It will, Sand the area where you’re going to use it with a heavy grit sandpaper (36/40 grit).