I had a laser cutter, it is a lot of fun but it really is expensive. I had opportunity to buy used machine cheaply, the laser was too burned out to cut whatever the previous owner was cutting, but for me its power was still more than enough. I made a lots of things with it:
Stairs, base and railings:
or huge block of flats, few sets of objectives for Warhammer and many other things.
It was a big CO2 laser that required water cooling and fumes exhaust. I had to sell it when my children grew up and I needed a place for their room. Nowadays you can buy cheap LED lasers, for example on Aliexpress. They usually can cut cardboard in few passes but I don't know if as thick as 2mm. If you want to buy it be sure the engraver software can process vector graphics for precise dimensions.
Unless you want to make something very big I would recommend a 3D printer which is easier to use - FDM for terrain or resin for more detailed models. FDM printer can be used on your desk, it doesn't emit any smell or fumes, just some sound. Fro resin printer you need a place with ventilation that can get dirty like basement or garage. There were also 3D printers with optional laser cutter module (like very old DaVinci Pro 3 in 1), but I don't know if any modern printer still has this option.