
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 \(ABC\), with sides opposite angles \(A\), \(B\), and \(C\) being \(a\), \(b\), and \(c\) respectively, it is given that \((2a+b)\sin A+(2b+a)\sin B=2c\sin C\).
1. Find the magnitude of angle \(C\);
2. If \(c= \sqrt {3}\), find the maximum value of the perimeter of triangle \(ABC\).

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