
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
Given that two tangents are drawn to a circle from an exterior point $A$, and a third tangent intersects segment $AB$ at point $P$ and segment $AC$ at point $R$, and point $Q$ is exactly midway between points $B$ and $C$ on the circle, where $AB=18$, find the perimeter of $\triangle APR$.

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