
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 the set $P=\{x\in \mathbb{N} | x(x-3)\geqslant 0\}$, $Q=\{2,4\}$, find the union of the complement of $P$ in $\mathbb{N}$ with the set $Q$.

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