
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 $a, b, c$ are the lengths of the sides opposite to angles $A, B, C$ in $\triangle ABC$ respectively, and it satisfies $(b - c)^2 = a^2 - bc$.
(1) Determine the size of angle $A$.
(2) If $a = 3$ and $\sin C = 2\sin B$, find the area of $\triangle ABC$.

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