
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 one endpoint of the minor axis of an ellipse forms an equilateral triangle with the two foci, and the shortest distance from the foci to the endpoint of the major axis of the ellipse is $\sqrt{3}$, find the standard equation of this ellipse.

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