
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
Around the outside of a $6$ by $6$ square, construct four semicircles with the sides of the square as their diameters. Inside this configuration, another square, $EFGH$, is constructed with sides parallel to the corresponding sides of the original square, and each side of $EFGH$ is tangent to one of the semicircles. Find the area of square $EFGH$.
A) 36  
B) 64  
C) 96  
D) 144  
E) 196

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