
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
Given that Marla has a large white cube with an edge of 12 feet and enough green paint to cover 432 square feet, find the area of one of the white circles created on each face, surrounded by a green border.

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