
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
Two tangents are drawn to a circle from an exterior point $A$; they touch the circle at points $B$ and $C$ respectively. 
A third tangent intersects segment $AB$ at $P$ and $AC$ at $R$, and touches the circle at $Q$. If $AB = 30$, determine the perimeter of $\triangle APR$ when $Q$ is the midpoint of segment $BP$.
A) 45
B) 50
C) 55
D) 60

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