It’s not strictly levitation - you can’t do that with permanent magnets, unless you use whacky diamagnetic materials like pyrolitic carbon or dutch frogs. It’s really a table made from a tensile structure of wires, tensioned with magnetic repulsion. An obscure sort of tensegrity structure.
If you wanted a no-field version of this, either shield the magnets (not that hard to do, on this scale and this budget) or just replace the magnets with discreet springs. They wouldn’t look much more obvious than the current wires.