
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 $l_1: x + 2my + 6 = 0$, $l_2: (m-2)x + 3my + 2m = 0$, determine the values of $m$ for which $l_1$ and $l_2$ are:
(1) parallel;
(2) perpendicular.

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