
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
In the Cartesian coordinate plane $(xOy)$, a circle $(C)$ is defined by the equation $x^{2}+y^{2}-6x+5=0$. Points $A$ and $B$ are on circle $(C)$, and the distance $AB = 2\sqrt{3}$. Determine the maximum value of $| \overrightarrow{OA} + \overrightarrow{OB} |$.

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