
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
There is a diagram consisting of three connected equilateral triangles arranged in a row, forming a larger triangle-like structure. Each vertex of these triangles needs to be colored using red, white, or blue. No two vertices connected directly by a segment should have the same color. For the middle triangle, one of the vertices can only be red or white. How many ways are there to color the vertices of this structure?

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