
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
Among the following propositions: ① If there are infinitely many lines within plane $\alpha$ parallel to line $\beta$, then $\alpha \parallel \beta$; ② Two planes parallel to the same line are parallel to each other; ③ Through two points outside of plane $\alpha$, it is always possible to construct a plane parallel to $\alpha$; ④ Two planes parallel to the same plane are parallel. The incorrect propositions are __________.

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