The lens should just barely see through a hole in a relatively large flat panel. The surface of the panel facing the subject should be flat black. This eliminates most of the reflections that would otherwise spoil the result. One way to do this is to cover the front of the panel with a black fabric like felt or velour. 45º cross illumination is usually best. You can use a polarizer with the axis of polarization set vertical relative to the view screen (top to bottom). The photography should be done in a fully dark room. If possible, the walls and ceilings should be as far as practical from the setup so as not to reflect unpolarized light into the scene.
Then you can use polarizing screens over each of the lights with their axes set to match that of the lens polarizer. Using a polarizer on the lens combined with polarizing screens over the lights in this manner is called “cross polarizing.” It’s standard in copying artwork, such as paintings. I used to do a lot of this. It’s covered in the Kodak book “Copying and Duplicating in Black and White and Color.”
Here's the book.
https://www.ebay.com/itm/155189116273
Polarizing screens for lights:
https://www.bhphotovideo.com/c/search?q=roscoe polarizing sheet&sts=ma
https://www.adorama.com/ro73001720....YAiABEgIUUvD_BwE&utm_source=inc-google-shop-p