
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 beetle starts at the point $(3, 4)$ on a 10x10 grid extending from $(0,0)$ to $(10,10)$. It moves in each of the four cardinal directions (up, down, left, right) randomly with each step having a length of $1$. The journey ends when the beetle touches any edge of the grid. Determine the probability that the beetle first touches a horizontal edge of the grid.

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