I don’t have an example handy, unfortunately, but I use bolts instead of screws in thin material. Screws tend to have coarser threads so material is more likely to split. The taper doesn’t contribute much holding power.
Size the hole a bit larger than the root diameter (solid part) of the bolt. Then turn it in - may need to flare the entry a tad to get it started. No nut required.
A drilled hole will have more solid sides than a laser cut one, so if doing that it will need to be a bit wider. You can also put a tiny drop of glue in the hole before threading in the bolt.
I’ve done this successfully in material as thin as 1/8" (3mm).
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