
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
Construct a tower using $3$ red unit cubes and $3$ yellow unit cubes to build a $2 \times 3$ rectangle. How many different ways are there to arrange these cubes, considering that two arrangements are the same if one can be rotated to match the other in a 2D plane?
A) 5  
B) 6  
C) 7  
D) 8  
E) 9

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