
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
Alex designed a logo on a square-shaped background. The logo features six circles, each tangent to its adjacent circles and two sides of the square. If the side of the square measures 24 inches, and each circle has a diameter of 8 inches, calculate the shaded area on the square.

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