
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 a parallelogram constructed on vectors \(a\) and \(b\).

\(a = 2p + 3q\)

\(b = p - 2q\)

\(|p| = 2\)

\(|q| = 1\)

\(( \widehat{p, q} ) = \frac{\pi}{3}\)

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