you could just put the carving volume in a vacuum chamber.
There seems to be a quite an impressive budget behind this, or what? Not even the laser tooling workshops I have seen usually have any vacuum chambers.
Wood is terribly bad material for laser tooling in itself, ignition point is only the start of it. It wont be anyways precise as the material removal is extraordinarily difficult to predict. And I'm yet to see a convincing reason why anybody would like to do anything from wood with a 10 µm tolerance.
Lasers are usually used to create accurate features in relatively planar surfaces that would otherwise be difficult to do with CNC machines. It is not used to shape pieces from
large aluminum
blocks, CNC is for that, along with aluminum molding.
You would be far better off with a two- or three axis CNC-machine, or a CNC-lathe.
EDIT: Added words italicized