
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 square sheet of metal with side length 4 units is used to cut out the largest possible equilateral triangle, and then the largest possible circular disc is cut out. Calculate the total amount of metal wasted.

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