
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
Suppose the graph of $y=g(x)$ includes the points $(1, 6)$, $(2, 4)$, and $(4, 2)$.

Based on this information, identify two certain points on the graph of $y=g(g(x))$. Calculate the sum of the product of the x and y coordinates of these points.

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