Look at your showroom photo. On my screen the wall looks like a pale version of the sofa...gray with a touch of blue/green. Go with that. It will make the sofa more neutral.

Check out Benjamin Moore Healing Aloe. You can also cut it 25% ...even lighter.

Here is a similar room in Healing Aloe with a gray sofa and beige rug..

The lighting in the showroom is a lot less yellow than your room and the fabric is less green. A brighter white in lightbulbs will tone down the greenish aspect in the fabric. Try a Kelvin in a higher daylight range....5500-6500.