One question: how to do the folds ?
"Rillen" is the answer, or perforating, but i think rillen is the better solution in this case :

for rillen you can use a simple pizza knive, for perforating, we can make a dotted line and let the laser cut that out

When the time is there (if i can make it happen, because i dont know for sure yet) ill make a dedicated topic, because i am derailing Michaels topic now..

First i need to check the file after testprinting and folding in a real cabinet.., then find the right cardboard, and after that test i need to trace the file to vectors, so the lasercutter understands what line to folow..