
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 a line $y= \frac { \sqrt {3}}{3}x$ and a circle $C$ with its center on the positive x-axis and a radius of 2, intersecting at points $A$ and $B$, and the length of chord $AB$ is $2 \sqrt {3}$.  
(Ⅰ) Find the equation of circle $C$;  
(Ⅱ) If point $P(m, n)$ is on circle $C$, find the maximum value of $\sqrt {3}m+n$.

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