
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 cardboard has each side of length $120$ cm. From each corner, two straight cuts are made, each starting at a distance of $10$ cm from the corner and meeting at the midpoint of the diagonal of the square at an angle of $45^{\circ}$. The cardboard is then folded along the cuts and the edges of each cut are adhered together forming a pyramidal shape. Calculate the volume of the pyramid formed.

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