
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
A square has sides of length 12 units, and a semicircle with a diameter equal to one side of the square is attached externally along one side. What is the area of the union of the regions enclosed by the square and the semicircle? Express your answer in terms of $\pi$.

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