Custom Three-State Reversible Chain

Consider a chain on states $\{1,2,3\}$ with transition matrix \[ P=\begin{pmatrix} 0.6 & 0.4 & 0\\ 0.2 & 0.5 & 0.3\\ 0 & 0.6 & 0.4 \end{pmatrix}. \] Find the stationary distribution.