Do you have a rug, curtains, other upholstered furniture, art, etc going in the space? these are non negotiables, or items that are more expensive to change and are selected first, before painting. once you choose a rug which grounds the space (or favorite piece of art) for example, then you select the other layers. paint is often last, especially one that is not a neutral. match the paint to the space as a last step.

I suggest a gray green to go with the multi toned floor. This is B.M. Horizon Gray

Purple will make the orange/red tones in the floor pop, so I don't think that would be a good choice. I think @elcieg is on the right track. Anything that leans green will be more complementary with the floors. But @Stephanie is also right in that it is usually recommended to choose a rug and bedding before choosing a wall color. There are literally hundreds of different paint colors so you will end up with a more coherent result if you choose the other elements first.

Thank you all! We got revere pewter and balboa mist and Horizon gray samples to try!

IMO choose your bedding then post a pic of it and I usually use the bedding to drive the wall color for sure and please do not choose a wall color with no context in the space .