
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 vectors $\overrightarrow{OA}$ and $\overrightarrow{OB}$ satisfy $|\overrightarrow{OA}|=|\overrightarrow{OB}|=\overrightarrow{OA}•\overrightarrow{OB}=2$, where any point $M$ on the same plane is symmetric with respect to point $A$ as point $S$, and point $S$ is symmetric with respect to point $B$ as point $N$. Find $|\overrightarrow{MN}|$.

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