When the long-run answer is just even

A token hops among three lily pads $A$, $B$, $C$ each second. The move depends only on the current pad:

• From $A$: to $A$ with $0.2$, to $B$ with $0.5$, to $C$ with $0.3$.
• From $B$: to $A$ with $0.5$, to $B$ with $0.3$, to $C$ with $0.2$.
• From $C$: to $A$ with $0.3$, to $B$ with $0.2$, to $C$ with $0.5$.

In the long run, what fraction of time does the token spend on pad $B$?