You can reglue the panels by lifting the veneer and inserting carpenter’s glue, then clamping. It might be tricky to clamp, but I suggest you put a narrow board on each side of the veneer for C-clamps to press evenly. Be sure to put waxed paper between the veneer and the boards to prevent any seeping glue from holding things together where it shouldn’t.
Cleaning knobs on locks
Heating a new addition