
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 \\(\alpha\\) and \\(\beta\\) are two planes, and \\(m\\) and \\(n\\) are two lines, which of the following statements is incorrect?

\\(①\\) If \\(m \perp n\\), \\(m \perp \alpha\\), and \\(n \parallel \beta\\), then \\(\alpha \perp \beta\\).  
\\(②\\) If \\(m \perp \alpha\\) and \\(n \parallel \alpha\\), then \\(m \perp n\\).  
\\(③\\) If \\(\alpha \parallel \beta\\) and \\(m \subset \alpha\\), then \\(m \parallel \beta\\).  
\\(④\\) If \\(m \parallel n\\) and \\(\alpha \parallel \beta\\), then the angle formed by \\(m\\) and \\(\alpha\\) is equal to the angle formed by \\(n\\) and \\(\beta\\).

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