
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
Given that a wooden plaque of uniform density in the shape of an equilateral triangle has a side length of $6$ inches and weighs $24$ ounces, and in a second similar plaque of the same material and thickness, also shaped as an equilateral triangle, there is a circular cut-out at the center, where the side length of this triangle is $8$ inches and the diameter of the circular cut-out equals the height of the triangle, calculate the weight, in ounces, of this second plaque.

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