
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
In the ellipse, \( O \) is the center, \( P \) is the endpoint of the minor axis, and \( F_{1} \) and \( F_{2} \) are the two foci. Given that \(\left|F_{1} F_{2}\right| = 3\) and the distance from point \( O \) to the line \( F_{1} P \) is 1. Find the eccentricity of the ellipse.

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