How to tell a blackhole from a neutron star covered entirely by Dyson sphere painted in vantablack?

In a galaxy far far away... M6760 (I made it up) is an unusually massive neutron star billions of light years away and it is surrounded by a spherical Dyson sphere painted in new improved formula vantablack called Perfect Blackbody 2.0 (trademarked & copy rights) using alien tech of course (actually it is depleted carbon nanotube). So from Earth perspective, how can we tell that is it not a blackhole using modern day technology?

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How to tell a blackhole from a neutron star covered entirely by Dyson sphere painted in vantablack?

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