
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
In the diagram, \( AB \) is the diameter of circle \( O \) with a length of 6 cm. One vertex \( E \) of square \( BCDE \) is on the circumference of the circle, and \( \angle ABE = 45^\circ \). Find the difference in area between the non-shaded region of circle \( O \) and the non-shaded region of square \( BCDE \) in square centimeters (use \( \pi = 3.14 \)).

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