
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 three different colors of lamps: two identical white lamps, two identical red lamps, and two identical blue lamps. She also has two identical basil plants and one aloe plant. She can put each plant under exactly one lamp, and she can put more than one plant under a lamp. How many ways can Rachel arrange her plants under her lamps?

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