
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
Two small and large cubes are glued together to form a three-dimensional shape. The four vertices of the smaller cube's glued face are at the quarter points (not the midpoints) of the edges of the larger cube's glued face. If the edge length of the larger cube is 4, what is the surface area of this three-dimensional shape?

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