
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
Triangle $PQR$ is equilateral with side length $8$. Suppose that $S$ is the midpoint of side $PQ$, and $T$ is the circumcenter of triangle $PQR$. What is the area of the circle passing through points $P$, $S$, and $T$?
A) $48\pi$
B) $54\pi$
C) $64\pi$
D) $72\pi$
E) $81\pi$

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