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Hey pat' good to see you around, the PL premium is a construction adhesive that is a good strong product and sets up quick. I've used it often years ago on wet n frozen boards-as they suggest' Ive used it on a boat years ago and still fish outa that boat today. I would think titebond wood glue will work but you would have to clamp the crap outa it over night for drying/curing.
Figure liquid nails or PL premium, it sets up quicker than wood glue.
stay away from a resin glue< unless you like the smell of 3M-10.
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Best of luck
Rob.M