
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 a radius of 4 units, and a point \( P \) is situated outside the circle. A line through \( P \) intersects the circle at points \( A \) and \( B \). If \( P A = 4 \) units and \( P B = 6 \) units, how far is \( P \) from the center of the circle?

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