
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 a line $l$ and two different planes $\alpha$ and $\beta$. If you choose two from "①$l \perp \alpha$; ②$l \parallel \beta$; ③$\alpha \perp \beta$" as conditions and the other as a conclusion, write a proposition that you think is correct (please use the symbols to represent).

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