
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 regular pyramid with a lateral edge length of 3cm, if it is cut by a plane parallel to the base of the pyramid and the area of the cross-section is $\frac{1}{9}$ of the base area, then the lateral edge length of the smaller pyramid removed is \_\_\_\_\_\_ cm.

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