
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
The game of Rorrim 2 is played on a $4 \times 4$ board, starting with a counter in one corner. At each turn, the player moves the counter to a cell that is the reflection of its current cell in one of the six dashed lines. How many cells could the counter occupy after precisely three turns?
A) 4  
B) 6  
C) 8  
D) 12  
E) 16

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