
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 three planar vectors $\overrightarrow{a}$, $\overrightarrow{b}$, and $\overrightarrow{c}$, where the angle between any two of them is equal, and $|\overrightarrow{a}|=1$, $|\overrightarrow{b}|=2$, $|\overrightarrow{c}|=3$, find the magnitude of $\overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c}$.

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