
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
Let $\alpha$ and $\beta$ be two non-coincident planes, and let $l$ and $m$ be two non-coincident lines. Given the following four conditions:

1. $l \subset \alpha$, $m \subset \alpha$, and $l \parallel \beta$, $m \parallel \beta$
2. $l \perp \alpha$, $m \perp \beta$, and $l \parallel m$
3. $l$ and $m$ are intersecting lines, $l \parallel \alpha$, $m \parallel \alpha$, $l \parallel \beta$, $m \parallel \beta$
4. The angle between $l$ and both $\alpha$ and $\beta$ is equal

Among these, the sufficient conditions for $\alpha \parallel \beta$ are $\boxed{2, 3}$.

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