
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 the vector $\boldsymbol{m}=(\sin B, 1-\cos B)$, which forms an angle of $\frac{\pi}{3}$ with the vector $\boldsymbol{n}=(2,0)$, where $A, B, C$ are the internal angles of $\triangle ABC$, find the value of the angle $B$.

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