
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
Points \( A \) and \( B \) are located at \( (3, 2) \) and \( (13, 16) \) respectively. Point \( N \) is the midpoint of segment \( \overline{AB} \). Segment \( \overline{AB} \) is reflected over the \( y \)-axis. What is the sum of the coordinates of the image of point \( N \) (the midpoint of the reflected segment)?

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