
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 in \(\triangle ABC\), \((a+b+c)·(\sin A+\sin B-\sin C)=a\sin B\), where \(A\), \(B\), and \(C\) are the internal angles of \(\triangle ABC\), and \(a\), \(b\), \(c\) are the sides opposite to angles \(A\), \(B\), \(C\) respectively, then find the value of angle \(C\).

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