
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
Let \[g(x) = \left\{
\begin{array}{cl}
x^2 - 1 &\text{ if }x > 6, \\
3x + 2 &\text{ if } -6 \le x \le 6, \\
4 &\text{ if } x < -6.
\end{array}
\right.\] Find \(g(-8) + g(0) + g(8)\).

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