
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 $\triangle ABC$, it is known that $(\sin A + \sin B + \sin C) \cdot (\sin B + \sin C - \sin A) = 3 \sin B \sin C$.

(1) Find the value of angle $A$;

(2) Find the maximum value of $\sqrt{3} \sin B - \cos C$.

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