It depends on the frame of reference, so you can correctly say that the sun goes around the earth.
You're instead thinking of heliocentrism vs geocentrism, which is about the planets as a whole revolving around the sun.
This is a common misguided gotcha question that is hilariously so confidently gotten wrong, just like what is heavier, a kilogram of lead or a kilogram of feathers? The former is heavier and I can prove it with one word.
no, I'm not thinking of that, I'm thinking of the fact that it is quite commonly pointed out that the earth-moon 2-body system rotates around a point 1000 miles below the surface of the earth (the center of the earth being 4000 miles below the surface); and I'm pointing out that if you are going to point that out about the earth-moon, it's even more interesting to point out the more dramatic situation regarding the sun-jupiter 2-body system where the point is outside of the sun.
