
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 triangle $ \triangle ABC $ with sides $ a $, $ b $, and $ c $ opposite angles $ A $, $ B $, and $ C $, respectively, consider vectors $ \overrightarrow{m} = (a, \sqrt{3}b) $ and $ \overrightarrow{n} = (\cos A, \sin B) $ being parallel.
(I) Find the angle $ A $.
(II) If $ a = \sqrt{7} $ and the area of $ \triangle ABC $ is $ \frac{3\sqrt{3}}{2} $, determine the perimeter of the triangle.

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