
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 \\(α\\), \\(β\\), and \\(γ\\) are three distinct planes, and \\(l\\) is a line, consider the following four propositions:  
\\(①\\) If \\(α⊥β\\) and \\(l⊥β\\), then \\(l∥α\\);  
\\(②\\) If \\(l⊥α\\) and \\(l⊥β\\), then \\(α∥β\\);  
\\(③\\) If \\(α⊥γ\\) and \\(β∥γ\\), then \\(α⊥β\\);  
\\(④\\) If \\(m⊂α\\) and \\(n⊂α\\), and \\(m∥β\\) and \\(n∥β\\), then \\(α∥β\\).  
Among these, the correct propositions are \_\_\_\_\_\_.

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