
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 starts at point $(2, 3)$ and makes jumps of length 1 unit in one of the four cardinal directions (up, down, left, right), each chosen randomly. The sequence of jumps ends when the frog reaches the boundary of a square defined by the points $(0,0), (0,6), (6,6),$ and $(6,0)$. Determine the probability that the sequence of jumps ends on a vertical side of the square.

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