
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 positive integer is a multiple of 3, and we sum the cubes of its digits to perform the first operation; then, we take the new number and sum the cubes of its digits to perform the second operation; if we repeat the above operations several times, you will find that eventually, this number will remain unchanged, and this number is called a "magic" number. If we have a multiple of 3, which is 9, then the result of its third operation is ____, and this "magic" number is ____.

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