
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 an ellipse with its center at the origin and foci at $F_{1}(-2 \sqrt {3}, 0)$ and $F_{2}(2 \sqrt {3}, 0)$, and the major axis is 8.  
(I) Find the equation of the ellipse;  
(II) The line $y = x + 2$ intersects the ellipse at points A and B. Find the length of the chord $|AB|$.

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