
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
A number is divisible by $3$ if the sum of its digits is divisible by $3.$ Consider the number $2A6B8,$ where $A$ and $B$ are digits. If $2A6B8$ is divisible by $3,$ what is the sum of all possible values of $A+B?$

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