What's off is you are mixing cool colors with warm colors. You can do that if you have an overall plan instead of looking at this room in parts. We need some unity and cohesion here! It can be done as shown here, however, you have to include texture and pattern. https://www.houzz.com/photos/prairie-grove-residence-transitional-living-room-chicago-phvw-vp~42149609 If you want to stick to either cool colors or warm colors in one space, here are warm colors: brown, your rug, your walls, your credenza. Cool colors: the gray in your couch, your wall art.

bring in a wood table. some warmer pillows.

you can't make the sofa look less blue gray by changing the wall color

the red pillow and cooler green tones in the art don't help . lose those too

bring in natural wood frames w/neutral tones in the art. the pillows, tones that match the rug, a few gray.

You can try other rugs in here to see if that brightens up the room. The current rug is quite beautiful, but the tone of it doesn’t work well with your couch.

You can order the smallest size of these rugs just to see if they work. The current rug would look great in a bedroom with ivory bedding.

although you say you like your BM Simply White, it doesn't work with earth tones, like your rug.

brings out the yellow in the paint.

although the rug is very attractive and seems to go with all your other furnishings, except the gray... have you read up on BM Simply White? worth a read.

The rug with its washed-out looking sections is dragging the look of your living room down, particularly with your gray furniture. It is always your house, and you pick what you like. Here's some ideas.