
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 measuring 12 cm on each side. Its peak is 15 cm above the center of the base. Calculate the sum of the lengths of the pyramid's eight edges.

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