Along those lines of repair,
I'm thinking small metal wire skewers for roasting in the kitchen. There is a nice loop on those for grabbing. Bend an small L on the trimmed end , & jb weld, gel super glue, plastic weld cementc etc. (pass thru hole 1st?).
Plastic drink stir at some bars. They have a ball tip that is close looking.
If you wanted to get creative, it seems an opportunity for adding a servo motor or coil to do the work.
No room inside? Hide it outside in an added stair/elevator shaft's top or odd protrusion/cover of some kind, etc...?
