
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 $m$, $n$, and $l$ be three different lines, and $\alpha$, $\beta$, and $\gamma$ be three different planes,
1. If $m$, $n$, and $l$ are all perpendicular, then $m \parallel n$
2. If $m \parallel \alpha$, and $m \parallel n$, then $n \parallel \alpha$
3. If $m \perp \alpha$, $n \parallel \beta$, and $\alpha \parallel \beta$, then $m \perp n$
4. If $\gamma$ forms equal angles with planes $\alpha$ and $\beta$, then $\alpha \parallel \beta$

Among the above propositions, the true proposition(s) is/are.

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