The actual build isn’t something I thought to document with pictures.
What I can tell you is that all the box joining corners are cut at 45 degrees as this left not so much ply end grain (no I hadn’t seen Steves video on edging at that point).
If you look again at the bad image on sketchup, you can see that there is in fact three boxes here (Lower left of image is Inner, Right of that is Lid and Right of that is Sleeve. Above Inner is the removable top / base for press parts compartments and press to sit on.
The random box, top right of image is my rough press template to size with and the far right shows the lid, sleeve and inner (minus final top and inner parts / bottom).
The Sleve isn’t a box and is a “notched” sleeve that creates the lower half of the overall closed box. This goes around the inner box which is .5mm taller than the lid height overall and therefore creates a 5mm gap between the sleeve and lid parts when stored away.
Super difficult to explain in text but basically, its a box in a box with an oversized lid with doesn’t quite reach the lower “sleeve”.
In the inner box, there are sectioned compartments for the presses attachments and a “false” top to that which is where the press sits on when packed away. Phew!