
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
Determine the area covered with brick debris (without metal remains). The momentum point $O$ is located 2 meters from point $E$ towards the center of the metal heap, and the angle $EOD$ equals $45^{\circ}$.

Use the provided schematics where:

1. The construction site near point $E$ is a sector of a circle with a radius of \(2\sqrt{2}\), bounded by the large arc \(FG\) and the radii \(EF\) and \(EG\).
2. The site near point \(O\) has a radius of 6 meters, bounded externally by the large arc \(CD\) and segments \(CG\) and \(FD\), and internally by the large arc \(FG\) centered at point \(E\).

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