2024 AMC 8 Question 15

Let the letters $F,$ $L,$ $Y,$ $B,$ $U,$ $G$ represent distinct digits. Suppose $\text{FLYFLY}$ is the greatest number that satisfies the equation $$
8 \cdot \text{FLYFLY} = \text{BUGBUG}.
$$ What is the value of $\text{FLY} + \text{BUG}?$