
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
In the Cartesian coordinate system, point A is given as (3, 2). The symmetric point of A about the y-axis is denoted as A<sub>1</sub>, the symmetric point of A<sub>1</sub> about the origin is denoted as A<sub>2</sub>, the symmetric point of A<sub>2</sub> about the x-axis is denoted as A<sub>3</sub>, and the symmetric point of A<sub>3</sub> about the y-axis is denoted as A<sub>4</sub>, and so on following this pattern. Then, the coordinates of point A<sub>8</sub> are.

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