Thanks for posting! I think the solution to make the room more colorful/ less blue is a simple one: different chairs! Those chairs are dark, so they’re not bringing a ton of that colorful aesthetic into the space anyways, and if you’re feeling like the design is blue dominant, switch them for a chair in a color you’re more drawn to! A burgundy, pastel pink, or green could be interesting!
I would also suggest that since you’re going very neutral with the decor, another way to bring color into the space is to paint one of/ all of the walls! I would lean towards something pastel or not too dominant, but get some samples when you get into the space and see what calls out to you!
As far as the rugs, I think you should decide first what other colors you want to have a stronger presence in the room. If they are hues that will not compete with the warm tones in the red rug, go for that one! If they are, the black and white is a much more “plays well with every color” option.