
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 regular six-pointed star $A B C D E F G H I J K L$ with center $S$, illustrated in the image, was formed by the union of two equilateral triangles, each having an area of $72 \text{ cm}^2$. Calculate the area of the quadrilateral $A B C S$.

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