My thoughts, as an extra-tired retired machinist: If you laser cut the holes at .060", they'd need to be drilled out larger for a 4-40 (or 3mm?) tap, and then tapped. With the wire soldered/brazed/welded to the lever, both drilling and tapping would be much more difficult and high potential for either broken drill or broken tap, due to wire being an obstruction.
What I would suggest is laser cut the holes at .060", then drill to .100" and tap with a form tap, aka roll tap. I've used roll taps a lot, and am a big fan of them. Much stronger taps, no chips, no flutes to clog, and threads are work hardened, so they're also stronger. Assuming you'd use a good threading lubricant, even a 4-40 roll tap will last a long time and be good for lots of parts. Do the brazing afterwards!
Steve