
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 an acute triangle ABC with area S, where the sides opposite to angles A, B, C are a, b, c respectively. The angle bisectors of angles A and C intersect at point O, and it is known that $b=2 \sqrt {3}$ and $S= \frac { \sqrt {3}}{4}(a^{2}+c^{2}-b^{2})$. Find:
(1) The measure of angle B;
(2) The maximum perimeter of triangle AOC.

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