
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
A sphere with radius \( \frac{3}{2} \) has its center at point \( N \). From point \( K \), which is at a distance of \( \frac{3 \sqrt{5}}{2} \) from the center of the sphere, two lines \( K L \) and \( K M \) are drawn, tangent to the sphere at points \( L \) and \( M \) respectively. Find the volume of the pyramid \( K L M N \), given that \( M L = 2 \).

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