
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
In the 2014 Nantong Research, let $\alpha$ and $\beta$ be two different planes in space, and let $m$ and $n$ be two different lines outside of planes $\alpha$ and $\beta$. From "①$m \perp n$; ②$\alpha \perp \beta$; ③$n \perp \beta$; ④$m \perp \alpha$" select three as conditions and the remaining one as the conclusion, write down the proposition you think is correct: \_\_\_\_\_\_\_\_(use the number to represent).

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