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Teal
You could get a light grey carpet and go for a period styled/French look, it might look odd at first but you should get some white chandeliers and white furniture to make it all match and it'll look great!
navy blue
A white or light grey carpet will do everywhere.
It would look exquisite
I would get cream or white depending on the color walls.
Tan, dark green, deep purple.
blue, sometimes green, grey, red, and black
try blck, white or green
With a neutral palette on the walls and floor, virtually anything will "go," and you may wish to take the opportunity to inject color into the space.
Some cleaning products you can use to shampoo a green carpet include Hot Water Steam Cleaning, Stomp 'n Go and Oxy Carpet stain remover. You can purchase these items online from the Amazon website.
If it looks good to you, then the outfit works.