
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
The function $g$ is defined on the set of integers and satisfies \[g(n)= \begin{cases}  n-4 & \mbox{if }n\ge 2000 \\  g(g(n+6)) & \mbox{if }n<2000. \end{cases}\]Find $g(96)$.

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