
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 prism has vertical edges parallel to the $z$-axis, and its base is a square with each side measuring 8 units. The prism is intersected by the plane given by the equation $3x - 5y + 2z = 20$. Find the maximum area of the cross-section created by this plane.

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