What is the VC-dimension of 4-sided polygon(not convex)?

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It's easy to say that it's at least 9 since convex polygons with k sides have VC-dimension 2k+1, but otherwise I'm stuck with horrible upper bounds in the vicinity of 27 from considering 4 linear classifiers on the plane. Other ways to look at the problem like considering two triangles, touching on the side or convex polygon with triangle cut from it also led me nowhere, so I would really appreciate some help before trying something more exotic since it seems that I'm just missing something relatively trivial.