  In this paper, we give a full classification of the unitary dual of $G =
U(n,2)$ for $n \geq 3$. As a consequence, we determine which of these
representations are weakly fair $A_{\mathfrak{q}}(\lambda)$-modules or special
unipotent representations, resulting in a verification of a conjecture of Trapa
and Vogan for $G$.
