
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 a positive integer $n (n \geqslant 2)$. From the numbers $1, 2, \cdots, 3n$, select $m$ numbers such that there must be four distinct numbers $a, b, c, d$ among them, which satisfy $a = b + c + d$. Find the minimum value of $m$.

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