
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 $ABC$, $a$, $b$, $c$ are the lengths of the sides opposite to angles $A$, $B$, $C$, respectively. Given vectors $\overrightarrow{p} = (1, -\sqrt{3})$ and $\overrightarrow{q} = (\cos B, \sin B)$ such that $\overrightarrow{p} \parallel \overrightarrow{q}$, and $b\cos C + c\cos B = 2a\sin A$, find the measure of angle $C$.

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