As others say, the adhesive is contact cement and it will be plenty
strong to keep the front banding in place -- no epoxy needed.

The only thing I would add is that when you apply the contact cement,
you apply it to both the laminate and the plywood (or whatever you decide
to use), wait until they look sorta "dull" and not sticky to the touch. Time for
that to happen depends on temp, usually 15-20 minutes. Also, when you
apply the glue to the edges and the laminate pieces, let them dry, and then
apply a SECOND coat of the glue and let it dry before sticking it. That will
insure it holds much better. Also, you do the edges first, trim it to size with the flush
trim bit, and then, depending on the bit, you usually have to use a file or sand to actually
get it flush because most "flush trimming" laminate bits leave just a little edge.
If they didn't, the when you tried to trim the top in the second phase (after the edge was
complete), the "flush" trim bit would tear up the edge you just completed.
So, after you trim the top, you need to file it "flush". Some folks like to file it at a 45
degree angle instead of a 90 degree angle..

.John