
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
Given that in the regular triangular pyramid S-ABC, the three lateral edges are perpendicular to each other, and the length of the lateral edges is 1, determine the surface area of the circumscribed sphere of this triangular pyramid.

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