
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 point mass is in a state of equilibrium under the action of three forces $F\_1$, $F\_2$, and $F\_3$ (in units of Newton) on the same plane. It is known that $F\_1$ and $F\_2$ form a $120^{\circ}$ angle, and both $F\_1$ and $F\_2$ have a magnitude of $6$ Newton. Calculate the magnitude of $F\_3$.

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