Railings are next

Depends on what type (strength) of bond you want. Both PTEG and styrene have solvent cements but not necessarily one solvent cement for both.

Superglue should work. I don't know how fine the mesh is. That might affect the look of the finished parts. Too thick might close some of the mesh. Best to experiment with scrap pieces.

I made some "diamond plate" by cementing fine nylon type screen to styrene with superglue, then paint it.

Lew
Florida ⛱️, USA 🇺🇸

Medium or thick viscosity CA should be fine in my book.