
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 that $\alpha$, $\beta$, and $\gamma$ are different planes, and $m$, $n$ are different lines. The correct statements among the following are:

① If $m \parallel \alpha$ and $\alpha \cap \beta = n$, then $m \parallel n$;  
② If $\alpha \parallel \beta$, and $\beta \parallel \gamma$, then $\alpha \parallel \gamma$;  
③ If $m \perp \alpha$, $n \perp \beta$, and $m \perp n$, then $\alpha \perp \beta$;  
④ If $\alpha \perp \beta$, and $m \subset \beta$, then $m \perp \alpha$;  
⑤ If $\alpha \perp \beta$, $m \perp \beta$, and $m \not\subset \alpha$, then $m \parallel \alpha$.

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