
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
Three identical square sheets of paper each with side length 8 are stacked on top of each other. The middle sheet is rotated clockwise by 45° about its center, and the top sheet is rotated clockwise by 90° about its center. Find the area of the complex polygon formed by the overlapping parts of the three papers.
A) 32
B) 64
C) 72
D) 96
E) 128

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