
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 that $A$, $B$, and $C$ are the internal angles of $\triangle ABC$, and $a$, $b$, and $c$ are the lengths of their respective opposite sides. Vector $\overrightarrow{m}=( \sqrt {3},\cos A+1)$, $\overrightarrow{n}=(\sin A,-1)$, and $\overrightarrow{m} \perp \overrightarrow{n}$.

(I) Find the measure of angle $A$;

(II) If $a=2$, $\cos B= \frac{\sqrt {3}}{3}$, find the length of $b$.

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