
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
Find the value of $m$ (where $m > 0$) if the distance between the line $l_1: x + 3y + m = 0$ and the line $l_2: 2x + 6y - 3 = 0$ is $\sqrt{10}$.

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