
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 $l_1$: $x+my=-6$, $l_2$: $(m-2)x+3y+2m=0$, find the value of $m$ when the following conditions are met:  
(1) $l_1$ and $l_2$ intersect;  
(2) $l_1$ and $l_2$ coincide.

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