
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 a moving large circle $\odot O$ that is tangent externally to a fixed small circle $\odot O_{1}$ with a radius of 3 at point $P$, and $AB$ is their common external tangent, with $A$ and $B$ being the points of tangency. The line $l$ that is parallel to $AB$ is tangent to $\odot O_{1}$ at point $C$, and it intersects $\odot O$ at points $D$ and $E$. Then $CD \cdot CE = \quad$

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