Identically Distributed Sum

A $6-$sided die with the values $1-6$ on the sides is weighted such that the probabilities of rolling a $2,3,4,5,$ and $6$ is the same if you roll once versus if you roll the dice twice and sum the upfaces. Find $p_1$, the probability of rolling a $1$ on this die. You may want to use a calculator in this question at some point. Round this answer to the nearest thousandth.