
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 △ABC, the sides opposite to angles A, B, C are a, b, c, respectively. If the area S = $$\frac { \sqrt {3}}{4}(a^{2}+c^{2}-b^{2})$$.
(1) Find angle B.
(2) If $$b=2 \sqrt {3}$$, a+c=6, find the area of △ABC.

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