re: Wood glue vs CA

I'm in agreement with the above comments, but just to add, you could do alternative methods to attach that cross. Something like decorative pins or other fasteners that can be placed (drill a hole, bit of adhesive, then stuff in the fastener)

Beyond that, have some tape layout marks for positioning the cross before applying glue. It's nice to not need to measure and adjust position while the glue is setting 🙄