Absorption in a Three-State Chain with Two Traps

A Markov chain has three states: $A$, $B$, and $C$. States $A$ and $B$ are absorbing. From state $C$, the chain moves to $A$ with probability $1/5$, to $B$ with probability $1/5$, and stays at $C$ with probability $3/5$. Starting from $C$, what is the probability of being absorbed at $A$? What is the expected number of steps until absorption?