
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
An ellipse is given by the equation $\frac{x^{2}}{9} + \frac{y^{2}}{25} = 1$. Point $A$ on the ellipse is 2 units away from one focus $F$. Point $B$ is the midpoint of $AF$. Find the distance from point $B$ to the center of the ellipse $O$.

A) $2$
B) $4$
C) $6$
D) $8$

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