Question is would PVA adhesive glue perspex sheet to wood at all,
slightly or well?

I am designing my own variation on a beehive that has an inspection
window. The hive boxes are softwood, glued with PVA for it's safe
non-toxic nature. I want to use 3mm perspex for the pane and I want to
glue and screw it in in such a way that it enhances the structure of the
box. Unlike for example a loose piece of glass which would require wood
and joints all round it to support it.

TW