
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 left and right foci of the ellipse $\frac{{{x^2}}}{3}+{y^2}=1$ are $F_{1}$ and $F_{2}$ respectively, if a line passing through $F_{1}$ with a non-zero slope intersects the ellipse at points $A$ and $B$, calculate the perimeter of $\triangle ABF_{2}$.

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