
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
Let's modify Frieda the frog's hopping adventure: Frieda now begins on a $4 \times 4$ grid of squares, still moving only up, down, left, or right and wrapping around as needed. If Frieda starts in the center square of the grid (2nd row, 2nd column in the grid's design), takes at most three hops at random, and stops if she lands on any edge square, what is the probability that Frieda reaches any edge square on one of her three hops?
A) $\frac{1}{2}$
B) $\frac{3}{8}$
C) $\frac{5}{8}$
D) $\frac{3}{4}$
E) $\frac{7}{8}$

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