
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 mouse starts at one corner of a square park with side length $15$ meters. It scurries $9$ meters along a diagonal toward the opposite corner. It then makes a $90^{\circ}$ right turn, runs $3$ meters, makes another $90^{\circ}$ right turn, and runs $1.5$ meters. Calculate the average shortest distance from the mouse to each side of the square.
**A)** $5$ meters
**B)** $6.5$ meters
**C)** $7.5$ meters
**D)** $8.5$ meters

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