
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
Given a $3 \times 2$ grid, determine the number of ways to place 2 indistinguishable red chips, 2 indistinguishable blue chips, and 2 indistinguishable green chips so that no two chips of the same color are directly adjacent to each other, either vertically or horizontally, and the center squares of the grid cannot be green.

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