
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 that "$m=1$" is the "necessary and sufficient condition" for the line $l_{1}$: $x+(1+m)y=2-m$ to be parallel to the line $l_{2}$: $2mx+4y=-16$, determine whether $m=1$ is a sufficient but not necessary condition.

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