
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 circular cutting tool has a radius of 10 cm. In the tool design, point \(B\) is located such that it is 6 cm vertically below point \(A\), and point \(C\) is 4 cm horizontally to the right of point \(B\). Each of these points lies along the edge of the tool, and \( \angle ABC \) is a right angle. Determine the square of the distance from point \(B\) to the center of the circle.

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