
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
If $A$, $B$, and $C$ are all distinct non-zero digits less than $8$, and the following equation holds in base $8$, find the sum of the three values $A$, $B$, and $C$, expressing your answer in base $8$.
$$\begin{array}{c@{}c@{}c@{}c}
&A&B&C_8\\
&+&B&C_8\\
\cline{2-4}
&A&C&A_8\\
\end{array}$$

Present the answer in LaTex format: \boxed{Your answer}
user