
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
Consider five points in the plane: \((-\tfrac{5}{2}, 2), (0,0), (0,3), (4,0), (4,3)\). A unique conic section passing through these points is an ellipse whose axes are parallel to the coordinate axes. Determine the length of its minor axis.

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