
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 20° about its center, and the top sheet is rotated clockwise by 45° about its center. Calculate the total area of the 24-sided polygon formed as a result of these rotations.
A) 176
B) 188
C) 192
D) 204
E) 216

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