Thanks to the help of hirata-san and Kanzawa-san for the 3d printing, I could assemble the required parts for this experiment.
The files are saved in the workstation in the cell birefringence folder. Current versions of the parts are the '...._v3'.
Note that it was nice to have the pillar screws of the part a bit smaller than M3 to make a tight fit of the screw.
I had to use sand paper for the on the pusher as the width of the cell container is not uniform along its height.
I confirmed the good assembly on the LC table.