
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
$a, b$ and $c$ are the lengths of the opposite sides $\angle A, $\angle B$ and $\angle C$ of the $\triangle ABC$ respectively. If $\angle C = 60^{\circ}$ and $\frac{a}{b+c} + \frac{b}{a+c} = P$, find the value of $P$.

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