Classification of monopole deformed 3d $\mathcal{N}=2$ Seiberg-like duality with an adjoint matter

We propose a new 3d $\mathcal{N}=2$ Seiberg-like duality of adjoint SQCD(Kim-Park duality) with linear monopole superpotential terms which encompasses known monopole deformed Kim-Park dualities. Equipped with this, we classify all the monopole deformed Kim–Park dualities up to quadratic powers of monopole deformations, and find all are equivalent either to the original Kim–Park, or to the proposed duality. With the recently developed deconfined perspective, this means all the working monopole deformed Kim–Park dualities up to quadratic terms are assembled by the Aharony and Benini-Benvenuti-Pasquetti dualities.