
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 points $P = (2, -5, 3),$ $Q = (4, -9, 6),$ $R = (1, -4, 1),$ and $S = (3, -8, 4)$ in space. Check if the quadrilateral $PQRS$ is a flat parallelogram and find its area.

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