
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
In a slightly different game setup, Arjun and Beth still play by removing either one brick or two adjacent bricks from multiple walls, which are now higher, consisting of three possible levels of bricks in a wall. Specifically, the game allows a move to impact any of the three levels, reducing adjacent bricks levels by at most two. For example, a set of walls of sizes $6, 4, 3$ can be turned, in one move, into $(6, 2, 3),$ $(4, 4, 3),$ or $(6, 4, 1),$ etc. Arjun still makes the first move. Identify the configuration that guarantees a win for Beth. Assume the following configurations:
- **(8,5,2)**
- **(8,3,3)**
- **(7,3,3)**
- **(8,4,2)**
- **(7,4,3)**
- **A) (8,5,2)**
- **B) (8,3,3)**
- **C) (7,3,3)**
- **D) (8,4,2)**
- **E) (7,4,3)**

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