This glue-up procedure would be close to gluing down HP laminate onto a countertop surface. I used to use small strips of laminate on top of the glued countertop, position the glued laminate sheet onto the strips, and slid the strips out as I rolled the laminate down onto the countertop. Starting from the middle and rolling outward was the best practice to insure against any air pockets. Air pockets were very rare, usually caused by trying to speed up the process and not allowing the contact adhesive to "tack" before installation.
Good luck with the repair!
