I was doing a solve and the corner popped out. Or so I thought. It seems it's broken into 2 pieces.

Here is a pic. The one on the right is how it should look.

Normally I'd use something like liquid polystyrene cement or even superglue, but I'm wary about damaging it.

Any recommendations?

Just go ahead and super glue that down. It's only made in two pieces because its easier to manufacture that way.
Dont glue the screw in. glue the hole triangular part.

Thanks. I'll get the gel-type version of super-glue next time I'm at the DIY store. Should get more in the grooves and help create a better bond.

It's fixed. Cheers.