I would use egg shell..semi gloss for me is reserved for the trim

Personally i would go darker on the cabinetry to add in some contrast.

'you want to make it look more gray as the rest of the house is". why? why does it have to be gray? you have a travertine w/very warm yellow/beige/peach tones. why do you want to force a color on it that isn't the best? forget gray. At least any of the blue grays. try SeaSalt, or a soft sage, or Pale Oak, or soft tan tone.

Why don't you wait until you update the countertop and mirror? However , I don't really see a smokey blue ?? Since you have that artwork, why not pull out one of those colors? or the lilac towel colors? since you have both of those, work w/that color try a sample. I think something like this would be perfect. hang a plant in the corner from the ceiling to add some greenery. use a warm macrame hanger and basket Or, I gave you a dusty lavender blind, (inset w/nice white trim work) and go w/a color like one of the lavender/grays. Ponder is pretty,, this darker shade would also be pretty. do some nice white casing trim around the window, and a new blind and also think about doing a soft gray roman blind, or even a bamboo blind. that blue one really doesn't work. And, make sure it's an inside mount. like this here's a dusty rose color or, a gray blind w/some gray wall colors. you want a lavender gray or neutral gray, not a blue gray. some other lilac tones how about a blind similar to this? https://www.selectblinds.com/roman-shades.html