
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 that the right focus $F\_2$ of the ellipse $\frac{{x}^{2}}{36}+\frac{{y}^{2}}{16}=1$ is the vertical line $AB$ perpendicular to the $x$-axis, intersecting the ellipse at points $A$ and $B$, and $F\_1$ is the left focus of the ellipse. Calculate the perimeter of $\triangle AF\_1B$.

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