
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 that measures 8 cm on each side. Its peak is 10 cm directly above the center of its base. Calculate the sum of the lengths of all edges of the pyramid, rounding off to the nearest whole number.

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