
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 $m$, $n$ are lines, and $\alpha$, $\beta$, $\gamma$ are planes, consider the following propositions:  
① If $\alpha \perp \gamma$ and $\beta \perp \gamma$, then $\alpha \parallel \beta$;  
② If $n \perp \alpha$ and $n \perp \beta$, then $\alpha \parallel \beta$;  
③ If three non-collinear points within $\alpha$ are all equidistant from $\beta$, then $\alpha \parallel \beta$;  
④ If $n \subset \alpha$, $m \subset \alpha$, and $n \parallel \beta$, $m \parallel \beta$, then $\alpha \parallel \beta$;  
⑤ If $m$, $n$ are skew lines, $n \subset \alpha$, $n \parallel \beta$, $m \subset \beta$, $m \parallel \beta$, then $\alpha \parallel \beta$.  
Among these propositions, the correct ones are \_\_\_\_\_\_ . (Fill in the proposition numbers you think are correct)

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