
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 two lines $l_{1}$: $\left(3-m\right)x+2my+1=0$ and $l_{2}$: $2mx+2y+m=0$. For what values of $m$ are the lines $l_{1}$ and $l_{2}$:
- $(1)$ Parallel;
- $(2)$ Perpendicular.

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