Use super glue under the lifted pieces. There's fancy kind at a wood working store, but it's still super glue. Apply under the bubbles wit a syringe. Get it down pretty flush then sand the shit out of it without sanding through the veneer. Sand the rest lightly, stain it with golden oak and use a spray varnish or laquer with a good steel wool rubdown between coats.

Or or put contact paper on it. Then kill it with fire.

A squirt of water will force the super glue to set so you don't have to hold it down so long.