
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
Consider a \(4 \times 4\) grid where Frieda the frog starts on a square at position \(2,2\). Determine the probability that Frieda reaches any boundary square (the squares on the outermost rows or columns) within three hops.

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