
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 sides $a$, $b$, and $c$ opposite the angles $A$, $B$, and $C$ of $\triangle ABC$, respectively, and the relationship $b\sin A = \sqrt{3}a\cos B$ holds:  
$(1)$ Find the measure of angle $B$;  
$(2)$ If $b = 2\sqrt{3}$, find the maximum value of the area of $\triangle ABC$.

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