
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 $m$ and $n$ are different lines, $α$, $β$, and $γ$ are different planes, there are four propositions as follows:

$① \begin{matrix} α//β \\ α//γ \end{matrix} ⇒β//γ$

$② \begin{matrix} α⊥β \\ m//α \end{matrix} ⇒m⊥β$

$③ \begin{matrix} m⊥α \\ m//β \end{matrix} ⇒α⊥β$

$④ \begin{matrix} m//n \\ n⊂α \end{matrix} ⇒m//α$

The correct proposition(s) is/are _______.

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