
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
Given the lines $l_{1}$: $ax-y+2=0$ and $l_{2}$: $\left(a+2\right)x-ay-2=0$. <br/>$(1)$ If $l_{1}$ <span class="special-symbol">∥</span> $l_{2}$, find the value of the real number $a$; <br/>$(2)$ If $l_{1}\bot l_{2}$, find the value of the real number $a$.

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