
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
Consider the ellipse $C$: $\frac{x^2}{25} + \frac{y^2}{16} = 1$ with left and right foci $F\_1$ and $F\_2$, respectively. A line passing through $F\_2$ intersects the ellipse $C$ at points $A$ and $B$. Calculate the perimeter of the triangle $\triangle F\_1AB$.

A) $12$
B) $16$
C) $20$
D) $24$

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