A heat gun and moving slowly will get the laminate off. Heat and then carefully insert a putty knife between the laminate and the substrate. Continue to heat and work more of the laminate loose till you can get a couple of large screw drivers in and rotate them to the wide side as you continue to heat and pry more of it up. Don't try and rip the laminate off as you can pull up the underlying wood.
Never done it but probably a thorough sanding
of the existing laminate and gluing new to the old would work as long as the original is still firmly attached.