
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
In the process of development, the traffic condition of a certain city has gradually attracted more attention. According to relevant statistical data, from 6 am to 9 am, the relationship between the time $y$ (minutes) it takes for vehicles to pass through a certain section of the city and the moment $t$ when the vehicles enter the section can be approximately given by the following function: $y=- \frac{1}{8}t^{3}- \frac{3}{4}t^{2}+36t- \frac{629}{4}$. Then, during this period, the moment when it takes the longest time to pass through this section is _______ o'clock.

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