
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 circles with radii \( R \) and \( R' \) touch each other externally at point \( P \) and touch a line \( l \) at points \( A \) and \( B \), respectively. Let \( Q \) be the intersection point of the line \( BP \) with the first circle. Determine the distance from the line \( l \) to the point \( Q \).

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