\[\begin{array}{cccc} & \color{red}A & \color{red}A & \color{red}A \\ \times & & & \color{red}A \\ \hline 3 & \color{blue}B & \color{blue}B & \color{red}A \end{array}\]

\(\color{red}A\) and \(\color{blue}B\) are digits. What is \({\color{blue}B}?\)

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