
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
Given that $\overrightarrow{e_{1}}, \overrightarrow{e_{2}}, \overrightarrow{e_{3}}$ are unit vectors, where any two vectors have an angle of $120^\circ$ between them, calculate the magnitude of $\overrightarrow{e_{1}} + \overrightarrow{e_{2}} + \overrightarrow{e_{3}}$.

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