
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
Students arrive at the school in a sequence such that the number of students arriving each minute decreases by $2$ compared to the previous minute, starting with $59$ students at $7:31$. If the automatic temperature detection booth checks $40$ people per minute and the manual temperature detection point checks $12$ people per minute, determine the time elapsed after the manual temperature detection is set up at $7:34$ until there are no longer any students in line.

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