Hitting Time to the Antipodal Vertex on a Cycle

A simple random walk moves on the cycle graph $C_8$ (vertices $0, 1, \ldots, 7$ arranged in a circle). At each step, the walker moves clockwise or counterclockwise with equal probability $\tfrac{1}{2}$. Starting at vertex $0$, what is the expected number of steps to reach the antipodal vertex $4$ for the first time?