
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
Eight distinct pieces of candy are to be distributed among three bags: a red bag, a white bag, and a blue bag, where the red bag and the white bag must each receive at least two pieces of candy, and the blue bag may remain empty. Find the number of arrangements that are possible.

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