
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. Let vectors $\overrightarrow{m} = (a-c, a-b)$ and $\overrightarrow{n} = (a+b, c)$ such that $\overrightarrow{m}$ is parallel to $\overrightarrow{n}$.

1. Find angle $B$.
2. If $a=1$ and $b=\sqrt{7}$, find the area of $\triangle ABC$.

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