Not sure what specific screws are used for that piece, but as far as I know it’s mostly metric M3/M4/M5 screws of various medium lengths in the 5-20mm range, so you should be able to basically eyeball it, get a box that contains a few of reasonably close sizes and try some until they fit.
You must be mistaken. Everybody knows Garak is a plain and simple tailor, as he will cheerfully tell you in the face of whatever evidence you might provide to the contrary.