AMC 12 2023a Problem 5

Janet rolls a standard $6$-sided die $4$ times and keeps a running total of the numbers she rolls. What is the probability that at some point, her running total will equal $3?$

$\textbf{(A) }\frac{2}{9} \textbf{(B) }\frac{49}{216} \textbf{(C) }\frac{25}{108} \textbf{(D) }\frac{17}{72} \textbf{(E) }\frac{13}{54}$