Monopole-deformed Kim-Park dualities from elementary dualities

We derive the ellipsoid partition function identities for the monopole-deformed Kim-Park dualities of 3d $\mathcal{N}=2$ adjoint SQCD with unitary gauge groups. The derivation uses only Aharony and Benini-Benvenuti-Pasquetti dualities as building blocks. By deconfining the adjoint into a $C_p[U(N)]$ quiver tail, we construct explicit duality sequences. Confinement and a rank-reducing duality chain then yield the expected magnetic partition functions, including the singlet contributions. We also present an alternative partition-function derivation of the $C_p[U(N)]$ s-confinement and provide Quiver Lab, a standalone HTML application for implementing and visualizing duality moves on quiver diagrams.