
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
Mark, Sandy, and Lucas are going to meet at a point that is equidistant from each of them. Mark is now at \((1,8)\), Sandy at \((-3,0)\), and they plan to meet halfway before proceeding to Lucas’ location at \((-1,5)\). Find the coordinates where all three will eventually meet.

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