
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 pyramid has a square base $PQRS$ and vertex $T$.  The area of square $PQRS$ is $256$.  The areas of $\triangle PQT$ and $\triangle RST$ are $160$ and $120$, respectively.  Determine the volume of the pyramid.
A) $1600$
B) $1706.67$
C) $1800$
D) $1900$

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