
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]


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In triangle $\triangle ABC$, let $a$, $b$, and $c$ be the lengths of the sides opposite to angles $A$, $B$, and $C$, respectively. Given that $\sqrt{3}({{a^2}+{c^2}-{b^2}})=2b\cdot \sin A$. Find:

$(Ⅰ)$ The measure of angle $B$;

$(Ⅱ)$ If $\cos A=\frac{1}{3}$, find the value of $\sin \left(2A-B\right)$.

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