
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 side lengths opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. It is known that $a^2$, $b^2$, and $c^2$ form an arithmetic sequence.
1. Find the range of values for $B$.
2. If the equation $\sqrt{3} \cos B + \sin B = m$ has exactly one solution, find the value of the real number $m$.

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