
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 triangle \( ABC \), the sides opposite angles \( A \), \( B \), and \( C \) are \( a \), \( b \), and \( c \), respectively, and it satisfies \( 2 \sqrt {3}ab\sin C = a^{2} + b^{2} - c^{2} \).  
(1) Find the measure of angle \( C \);  
(2) If \( a\sin B = b\cos A \) and \( a = 2 \), find the area of \( \triangle ABC \).

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