If it is indoor application I'd use titebond 11, if outdoors I'd use lll. I'd place the ply together cross grain if it's square. The interior plys should already be cross grain to begin with. You should be fine. A thin coat of glue and use cauls and lots of clamps. Let ti cure for at least 24 hours prior to removing clamps.
This time of year no guarantees though on warping since most of us work in garages or basements..