I would not pick either of those paints. I would pick a lighter shade of the bluish color in your area rug.

Personally, my favorite is grey, because I'm down south where we rarely get snow/drops below 40, so it helps make the season a bit colder.

https://www.sherwin-williams.com/homeowners/color/find-and-explore-colors/paint-colors-by-collection/top-50-colors

If your painters are coming tomorrow you should have asked this question a month ago. It is difficult for people to choose a color for you as colors on monitors don't look the same in person. The standard recommendation is to sample a couple colors before paying to have a large expanse painted. I have pasted in the URL for the section of the Sherwin Williams website that shows their 50 best sellers. I'm sure one of them, and probably even more than one, would work for you.

However, you'll see that there are varying levels of gray and beige, some are a little of both, and there are varying levels of color intensity. I don't know what you're envisioning, so I really don't know which one to recommend. However, if you're not sure you want to go gray or beige, it's probably best to go greige. Some of their gray colors actually have a fair amount of beige in them. If you are forced to pick one tomorrow, go to the paint store with the contractor and ask someone at the store to point you in the direction of a greige and choose one that is the degree of light/dark that you are looking for. Be aware that it will look darker on your wall than it does on a chip.

I picked up color from your rug