
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 line segment with endpoints \(A(-3, 1)\) and \(B(9, 7)\) is extended from \(B\) to a point \(C\) such that \(BC = \frac{1}{2} \cdot AB\). What are the coordinates of point \(C\)?

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