
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
The temperature (unit: $^{\circ}\mathrm{C}$) in a laboratory changes with time $t$ (unit: $h$) approximately following the function: $f\left(t\right)=10-\sqrt{3}\cos\frac{π}{12}t-\sin\frac{π}{12}t$, $t\in \left[0,24\right)$<br/>$(Ⅰ)$ Find the maximum temperature difference in the laboratory for that day;<br/>$(Ⅱ)$ If the temperature in the laboratory should not exceed $11^{\circ}\mathrm{C}$, during which time period does the laboratory need to cool down?

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