
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 from an external point $A$ to a circle, touching the circle at $B$ and $C$ respectively. A third tangent touches the circle at $Q$, intersects $AB$ at $P$, and $AC$ at $R$. If $AB = 25$, find the minimum possible perimeter of $\triangle APR$.
A) 49.5
B) 50
C) 52.5
D) 55

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