Arc from Car

Logic Level 2

CARCA+CARC \begin{array} {cccc} \large & & \color{#D61F06}C & \color{#3D99F6}A & \color{#20A900}R \\ \large & & & \color{#D61F06}C & \color{#3D99F6}A \\ \large + & & & & \color{#D61F06}C \\ \hline \large & & \color{#3D99F6}A & \color{#20A900}R & \color{#D61F06}C \end{array}

If C \color{#D61F06}C, A\color{#3D99F6}A, and R\color{#20A900}R are (not necessarily distinct) non-zero digits, what is the 3-digit final sum ARC? \overline{ {\color{#3D99F6}A} {\color{#20A900}R} {\color{#D61F06}C } }?

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