
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
The side length of the square AP1P2P3 is 4. Points B and C are the midpoints of sides P1P2 and P2P3, respectively. By folding along AB, BC, and CA, a tetrahedron P-ABC is formed (such that P1, P2, P3 coincide at P). Find the surface area of the circumscribed sphere of the tetrahedron P-ABC.

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