
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 right pyramid has a square base with each side measuring 12 cm. The peak of the pyramid is 15 cm vertically above the center of its base. Calculate the sum of the lengths of the pyramid's eight edges and express your answer to the nearest whole number.

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