With time, orbital motion should distinguish the two possibilities.
Though at a 50 AU orbit around a smallish star, that might take a while.
Though at a 50 AU orbit around a smallish star, that might take a while.
Orbital mechanics, orbital period, and minimum determinable arc of JWST.
Though another thought is that doppler might also reveal velocity, if a spectrum could be obtained. Since the system is nearly perpendicular to the Solar System (we're viewing it face-on rather than from the side), those shifts will be small.