1099 NEC and different state listed

I work in North Carolina as an independent contractor field service technician. All of my work is done on locations in North Carolina. One of my major clients facilitates communications between me and the company I do end services for, and issues my pay. They are based in Colorado.

On the 1099-NEC I received, they have box 6 listed as Colorado as state and have a Payer's state number. State income in Box 7 is also recorded. The amount is just short of $10,000.

I file State as North Carolina every year and anticipated that, since all my work was done IN North Carolina, I would be fine just filing NC state taxes. Now I am thinking that, since the person who is using my services is -technically- in Colorado, I also need to file there for the ~10,000? Is this correct?