Mounting EPS Carry on Shield X

This is the first time I'm mounting an optic on a pistol. It was much more straightforward on my AR.

I bought a Shield X & an EPS Carry. The shop said their gunsmith would set it up, but I'd like to know how to do this myself. The EPS Carry came with an adapter plate and 3 sets of screws (6/32", M3, M4). Searching, including with Perplexity, says that the holes are 6/32". Those screws don't seem to fit, but admittedly I am afraid to force it for fear of ruining the slide. Are those indeed the right screws for those who have done this? Also, the optic seems to fit in the frame snugly without the plate, so I was planning on not using it.

Advice please?