Two-step mean of a Markov chain

Let $\{X_n\}_{n\ge1}$ be a time homogeneous discrete time Markov chain with state space $\{0,1,2\}$ and transition probability matrix $\begin{pmatrix} 0 & \frac12 & \frac12 \ \frac12 & \frac14 & \frac14 \ \frac12 & \frac14 & \frac14 \end{pmatrix}$. If $P(X_0 = 0) = P(X_0 = 1) = \frac14$, then $32 E(X_2)$ equals ________ (in integer).