
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
Let \\(\alpha\\) and \\(\beta\\) be two different planes, and \\(m\\) and \\(n\\) be two different lines. Among the following statements, the correct ones are __________ (fill in the serial numbers of all correct statements).

\\(①\\) If \\(\alpha \parallel \beta\\), and \\(m \subset \alpha\\), then \\(m \parallel \beta\\);  
\\(②\\) If \\(m \parallel \alpha\\), and \\(n \subset \alpha\\), then \\(m \parallel n\\);  
\\(③\\) If \\(\alpha \perp \beta\\), and \\(\alpha \cap \beta = n\\), and \\(m \perp n\\), then \\(m \perp \beta\\);  
\\(④\\) If \\(n \perp \alpha\\), and \\(n \perp \beta\\), and \\(m \perp \alpha\\), then \\(m \perp \beta\\).

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