
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 to angles $A$, $B$, and $C$ respectively, and $(a-c)\sin A + c\sin C - b\sin B = 0$.
(1) Find the value of $B$;
(2) Find the maximum value of $\sin A + \sin C$ and the values of $A$ and $C$ at this time.

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