The wood-part list is available as a FreeCAD file (but I did not create it in a good way as I don't know about CAD at all - it was just meant to support me in measuring sizes, what worked fairly well.) or as a PDF. Get alle the parts made from a material, you like. The measurements are meant for about 13 millimeters of thickness. The side parts are a bit tricky to cut into their desired form. You can eighter ask someone who has a cnc or be a bit creative in handling your tools. When you build up your arcade remember that you ahve to mount a lot of parts so dont screw it together too much yet. We started like this: Lay the back side on the floor, then attach the sides to it with some screws. Next you should cut a big hole into the top plate and mount a fan inside blowing to the outside.
The Arcade is pretty new. This documentation is still a work in progress!