
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 newsstand with a square base has side lengths of $3 \mathrm{~m}$. The roof structure consists of two overlapping regular triangular prisms, each oriented perpendicularly to each other, and one face of each prism aligns with the ceiling. What is the surface area of the roof?

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