
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 $α,β,γ,$ are three non-intersecting planes, and $l$ is a line. The following four statements are provided:

$①$ If $α⊥β,l⊥β$, then $l//α$; $②$ If $l⊥α,l//β$, then $α⊥β$;

$③$ If there are two points on $l$ equidistant to $α$, then $l//α$; $④$ If $α⊥β,α//γ$, then $γ⊥β$

Determine the sequence number(s) of the correct statement(s).

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