
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 circle has two tangents drawn from an exterior point $A$, touching the circle at points $B$ and $C$, respectively. A third tangent intersects segment $AB$ at $P$ and segment $AC$ at $R$, touching the circle at $Q$. This $Q$ is near the arc midpoint of $BC$. If $AB = 30$, find the perimeter of $\triangle APR$.
A) 60
B) 42
C) 45
D) 40.5
E) Not determined by the given information

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