
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
Let  $A$  be a positive integer which is a multiple of 3, but isn't a multiple of 9. If adding the product of each digit of  $A$  to  $A$  gives a multiple of 9, then find the possible minimum value of  $A$ .

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