
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 that $a, b, c$ are the sides opposite to $\angle A, \angle B, \angle C$ respectively, and vectors $\overrightarrow{m}=(\sqrt{3},-1), \overrightarrow{n}=(\cos A,\sin A)$, if $\overrightarrow{m} \bot \overrightarrow{n}$, then $a\cos B+b\cos A=c\sin C$, find the measure of $\angle B=$______

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