
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
Rachel now has two identical basil plants, an aloe plant, and a cactus. She also possesses two identical white lamps and two identical red lamps. She can place each plant under a lamp, but each plant must be under exactly one lamp. How many ways are there for Rachel to arrange her plants under her lamps?

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