
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 a plane $\alpha$, a plane $\beta$, and a line, with the following conditions:
① $m \parallel \alpha$;
② $m \perp \alpha$;
③ $m \subset \alpha$;
④ $\alpha \perp \beta$;
⑤ $\alpha \parallel \beta$.
(i) Under which condition(s) does $m \parallel \beta$ hold? (ii) Under which condition(s) does $m \perp \beta$ hold? (Fill in the serial numbers of the conditions)

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