
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 distinct lines, and $\alpha$ and $\beta$ are non-coincident planes, consider the following propositions:  
① If $m \parallel \alpha$, then $m$ is parallel to any line within the plane $\alpha$.  
② If $\alpha \parallel \beta$, $m \subset \alpha$, $n \subset \beta$, then $m \parallel n$.  
③ If $m \perp \alpha$, $n \perp \beta$, $m \parallel n$, then $\alpha \parallel \beta$.  
④ If $\alpha \parallel \beta$, $m \subset \alpha$, then $m \parallel \beta$.  
Among the propositions above, list the numbers of the true statements.

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