
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\\) and \\(n\\) be two different lines, and \\(\alpha\\), \\(\beta\\), and \\(\gamma\\) be three different planes. Given the following four propositions:

\\(①\\) If \\(m \subset \alpha\\) and \\(n \parallel \alpha\\), then \\(m \parallel n\\);

\\(②\\) If \\(\alpha \parallel \beta\\), \\(\beta \parallel \gamma\\), and \\(m \perp \alpha\\), then \\(m \perp \gamma\\);

\\(③\\) If \\(\alpha \cap \beta = n\\), \\(m \parallel n\\), and \\(m \parallel \alpha\\), then \\(m \parallel \beta\\);

\\(④\\) If \\(m \parallel \alpha\\), \\(n \parallel \beta\\), and \\(m \parallel n\\), then \\(\alpha \parallel \beta\\).

Among these, the true proposition(s) is/are __________ (Fill in the correct proposition number(s)).

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