
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
A frog begins at point $(3, 2)$ in a larger square defined by vertices $(0,0), (0,6), (6,6),$ and $(6,0)$. With each jump, the frog moves $1$ unit up, down, left, or right, the direction decided randomly. The process stops when the frog first touches any boundary of the square. What is the probability that the frog's journey ends on a vertical side of the square?
**A)** $\frac{1}{2}$  
**B)** $\frac{5}{9}$  
**C)** $\frac{11}{18}$  
**D)** $\frac{2}{3}$

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