
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
Assume point $A$ lies on the curve defined by the parametric equations $\left\{ \begin{array}{l}
x = \sqrt{3} + \cos\theta \\
y = 1 + \sin\theta
\end{array} \right.$ (where $\theta$ is the parameter). Find the maximum distance from point $A$ to the origin of coordinates.

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