I wasn't able to print the drawers from the original in vase mode, so I made my own. Also made a version of the sleeve with tabs to prevent the drawers to be pushed too far, it also helps with bed adhesion when printing the sleeve.
This version is 100% vase mode compatible, though it is possible to print the sleeves in regular mode for more stiffness.
The outer sleeve is just a modification of the original file and works with the non-tabbed version (if you wish to leave an empty space and use a sleeve for support, you can).
--- WIP ---
-> I have not yet tried printing the drawers with label tabs yet - please share results if you do.
Print in vase mode / spiralized outer contour (Cura's lingo)
I've optimized the pieces to be printed with a 0.4mm nozzle at 0.2mm layer
You may need to rotate the drawers in your slicer before processing (I'm a noob and have no idea how to do it before saving to STL)
I suggest printing the sleeves with 2 bottom layers, for both versions, to prevent the sleeves from completely sliding into each others. It is mandatory for the tabbed version.