
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
In triangle $ABC$, where $A, B,$ and $C$ are the interior angles opposite to sides $a, b,$ and $c$ respectively, it is given that $(2a-c)\cos B = b\cos C.$  
(I) Find the measure of angle $B$;  
(II) If $b=2,$ find the maximum value of the perimeter of triangle $ABC$.

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