
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 \(P\) and \(R\) are located at \( (2, 1) \) and \( (12, 15) \) respectively. Point \(M\) is the midpoint of segment \(\overline{PR}\). Segment \(\overline{PR}\) is reflected over the \(y\)-axis. What is the sum of the coordinates of the image of point \(M\) (the midpoint of the reflected segment)?

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