
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
An octahedral die has eight faces, numbered from 1 to 8. How many ways can you paint three faces of this die red so that the numbers on the red faces don't add up to 9?

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