
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
Given that $O$ is the origin, the vectors $\overrightarrow{OA} = (1, 2, 3)$, $\overrightarrow{OB} = (2, 1, 2)$, and $\overrightarrow{OP} = (1, 1, 2)$. A point $Q$ moves along the line $OP$. Determine the coordinates of point $Q$ at which the dot product $\overrightarrow{QA} \cdot \overrightarrow{QB}$ attains its minimum value.

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