
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 $\triangle ABC$, $a$, $b$, $c$ are the opposite sides of angles $A$, $B$, $C$ respectively. Let $R$ be the radius of the circumcircle of $\triangle ABC$, and given that $2R(\sin^2 A - \sin^2 B) = (\sqrt{2}a - c)\sin C$, find the measure of angle $B$.

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