
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 triangle $\text{ABC}$ with internal angles $\text{A}$, $\text{B}$, and $\text{C}$, and their respective opposite sides $a$, $b$, and $c$. Let $a=4$, $c=\sqrt{13}$, and $\sin\text{A}=4\sin\text{B}$.

(1) Find the length of side $b$.
(2) Find the measure of angle $\text{C}$.

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