
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
Define a function $B(m, n)$ with the following recurrence relation:
\[ 
B(m,n) = \left\{ 
\begin{aligned} 
&n+2 && \text{if } m = 0 \\ 
&B(m-1, 2) && \text{if } m > 0 \text{ and } n = 0 \\ 
&B(m-1, B(m, n-1)) &&\text{if } m > 0 \text{ and } n > 0 
\end{aligned} \right.
\]
Compute $B(2, 1).$

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