
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
Triangle $ABC$ has vertices $A(3, 4)$, $B(6, 8)$, and $C(5, 1)$. Point $A$ is first reflected across the $x$-axis to get $A'$. Then, $A'$ is further reflected across the line $y = x - 2$. Find the final coordinates of the reflected point $A''$.

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