
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
How many ways are there to place $4$ indistinguishable red chips, $3$ indistinguishable blue chips, and $3$ indistinguishable green chips in a $4 \times 3$ grid so that no two chips of the same color are directly adjacent to each other vertically or horizontally, but diagonal adjacency is allowed?
**A)** 1 
**B)** 2
**C)** 4 
**D)** 6
**E)** 8

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