
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 a triangle $ABC$ with its three internal angles $A$, $B$, $C$, and the corresponding sides $a$, $b$, $c$, and the area $S_{\triangle ABC}= \frac { \sqrt {3}}{12}a^{2}$. Find the maximum value of the real number $m$ that satisfies $\sin ^{2}B+\sin ^{2}C=m\sin B\sin C$.

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