
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
By the Day of the Russian Flag, a seller decided to decorate the store's display window with 10 horizontal stripes of fabric in three colors. He follows two conditions:
1) Stripes of the same color must not hang next to each other;
2) Each blue stripe must hang between a white and a red stripe.

How many ways can he achieve this?

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