
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 $ABC$, the sides opposite to the angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. It is given that $\frac{a}{bc} + \frac{c}{ab} - \frac{b}{ac} = \frac{1}{a\cos C + c\cos A}$.
(Ⅰ) Find angle $B$;
(Ⅱ) The area of $\triangle ABC$ is $\frac{3\sqrt{3}}{2}$, the radius of the circumcircle is $\sqrt{3}$, and it is known that $c > a$. Find $c$.

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