
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 $\frac{x^{2}}{5^{2}}+\frac{y^{2}}{3^{2}}=1$, find the minimum length of the line segment $AB$ where the line is a tangent to the ellipse and intersects the major and minor axes of the ellipse at points $A$ and $B$ respectively.

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