
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

Calculate the area of the parallelogram formed by the vectors $a$ and $b$.

$a = 3p + 2q$

$b = 2p - q$

$|p| = 4$

$|q| = 3$

$\angle (p, q) = \frac{3\pi}{4}$

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