
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 circle C: \(x^2 + y^2 = 1\), line l: \(x = 2\), point P is a moving point on line l. A tangent line is drawn through point P to circle C, with tangents at points A and B. Determine the coordinates of the point through which the line AB passes.

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