
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 square diagram shows a uniform $11 \times 11$ grid of points including the points on the edges. Point $P$ is located at the center of the square. If point $Q$ is randomly picked from the remaining $120$ points, what is the probability that the line $PQ$ forms a line of symmetry for the square?

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