
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 different planes, and \\(m\\) and \\(n\\) are two different lines, consider the following propositions:  
\\(①\\) If \\(m\\) and \\(n\\) are parallel to the same plane, then \\(m\\) and \\(n\\) are parallel;  
\\(②\\) If \\(m \perp \alpha\\) and \\(n \parallel \alpha\\), then \\(m \perp n\\);  
\\(③\\) If \\(\alpha\\) and \\(\beta\\) are not parallel, then there is no line in \\(\alpha\\) that is parallel to \\(\beta\\);  
\\(④\\) If \\(\alpha \cap \beta = n\\) and \\(m \parallel n\\), then \\(m \parallel \alpha\\) and \\(m \parallel \beta\\);  
\\(⑤\\) If \\(m \parallel n\\) and \\(\alpha \parallel \beta\\), then the angle formed by \\(m\\) with \\(\alpha\\) is equal to the angle formed by \\(n\\) with \\(\beta\\).  
Among these propositions, the true ones are \_\_\_\_\_\_ \\((\\)Fill in the numbers of all correct propositions\\()\\)

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