
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
We have 64 small wooden cubes, each with an edge of $2 \mathrm{~cm}$, that are covered with paper. Then, these small cubes are used to construct a large cube. How many $\mathrm{cm}^{2}$ of paper would we save if we first assembled the large cube and then covered it with paper, applying only one layer of paper?

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