
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 angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively, and $\sin ^{2}B=\sin ^{2}A+\sin ^{2}C-\sin A\sin C$.
(1) Find the value of angle $B$;
(2) If $b= \sqrt {3}$, $S_{\triangle ABC}= \frac { \sqrt {3}}{2}$, find the value of $\overrightarrow{AB} \cdot \overrightarrow{BC}$ and $a+c$.

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