
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 two different lines \\(l\\) and \\(m\\), and two different planes \\(\alpha\\) and \\(\beta\\), there are the following 4 propositions:  
\\(①\\) If \\(l \subset \beta\\) and \\(\alpha \perp \beta\\), then \\(l \perp \alpha\\);  
\\(②\\) If \\(l \perp \beta\\) and \\(\alpha \parallel \beta\\), then \\(l \perp \alpha\\);  
\\(③\\) If \\(l \perp \beta\\) and \\(\alpha \perp \beta\\), then \\(l \parallel \alpha\\);  
\\(④\\) If \\(\alpha \cap \beta = m\\) and \\(l \parallel m\\), then \\(l \parallel \alpha\\).  
Among these propositions, the true ones are \_\_\_\_\_\_ (Fill in the numbers of all propositions you think are correct).

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