A Dice Game with a Penalty Roll

Paco and Russelle take turns rolling a fair six-sided die, with Paco rolling first. A player wins immediately upon rolling a $6$. However, a player who rolls a $1$ is penalized and must skip their very next turn, so that the opponent rolls twice in succession. The probability that Paco wins the game is $\dfrac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.