which way does that face? and do you use it most in the morning or afternoon?

Southwest and we use it all day.

I noticed your blue cushion and pots and since I also love blue, I think the blue in the picture below (it references Hamilton Blue, but no manufacturer) would be so pretty and easy to live with. It's a happy color. Although your rug doesn't seem to have blues, the carpet in pic is similar to yours and it goes.
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Try using the two shades from the wicker sofa - one all around the space like wainscot, and the other above, or one room in one color and the other room in the other color. Take a cushion to the paint store and get a pro to help match it. For more of a sunroom look, yet still soft, try a wool sisal-look rug in the sitting area. For the playroom side, try something more playful, bolder and soft.

Thanks for your suggestions. The trees off the back are so green and lush during the spring/summer and I was hoping for a color that would keep that warmth during the winter but not be too heavy/dark. I like blues but I'm concerned they may be too cool. Maybe some kind of sage green or a seaglass blue/green...?

BM Fernwood Green;)

BM Covington Blue, a wonderful greenish blue, not too muddy nor too dark

A couple of soft greens to try, BM Spanish Olive and SW Recyled Glass. Just enough to bring a hint of colour.

Check out BM's Aganthus green...

First, you need to pick a color that you will paint the whole room with, that means a light color from floor through the ceiling.

Second, get bright white with a touch of tint in the color you picked on the wall in the trim. Next get some good lighting in the room.

something between blue&green looks great.

BM Constellation

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Take a close up of the sofa cushions and let's see what they read at Sherwin Williams.