
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
$F\_1$, $F\_2$ are the left and right foci of the hyperbola $C$: $\frac{x^2}{9} - \frac{y^2}{4} = 1$. Point $M$ is on the hyperbola and $\angle F\_1 M F\_2 = 60^{\circ}$, then $S_{\triangle F\_1 M F\_2} =$ _____ .

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