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Kinematic variety vs. multilinear-rank tensor variety

Show that the kinematic variety defined by spinor brackets of order ≤ 3 coincides with the variety of tensors of multilinear rank ≤ (2,4,2) (Conjecture 6.2).

References

Show that the kinematic variety for spinor brackets of order $\leq 3$ is the variety of tensors with multilinear rank $\leq (2,4,2)$. \ \ \ Conjecture 6.2.

What is Positive Geometry? (Ranestad et al., 18 Feb 2025) in Section “Open questions”: Problem [Rajan]