Wordle

Chef invented a modified wordle. There is a hidden word $S$ and a guess word $T$, both of length $5$. Chef defines a string $M$ to determine the correctness of the guess word. For the $i^{th}$ index: - If the guess at the $i^{th}$ index is correct, the $i^{th}$ character of $M$ is $\texttt{G}$. - If the guess at the $i^{th}$ index is wrong, the $i^{th}$ character of $M$ is $\texttt{B}$. Given t