
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
Consider a pyramid $P-ABCD$ with square base $ABCD$ and point $P$ directly above the center of the base. Let $AB=4$, and $P$ is vertically above the center of the square at a height of $6$ feet. Compute the volume of pyramid $P-ABCD$.
A) $28$ cubic feet
B) $32$ cubic feet
C) $36$ cubic feet
D) $40$ cubic feet

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