
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
Changsha has become one of the most popular tourist destinations in China. A survey shows that during the May Day holiday in 2021, Changsha received 2 million visitors, and during the May Day holiday in 2023, it received 2.88 million visitors.  
$(1)$ Find the average growth rate of the number of visitors received by Changsha during the May Day holidays from 2021 to 2023.  
$(2)$ Chatime has become a popular destination for out-of-town tourists in Changsha. Among the products, Youlan Latte and Shengsheng Oolong are the two favorite products of tourists. It is known that the price of Youlan Latte is $2 more expensive than Shengsheng Oolong. A tour guide spent 216 yuan to buy Youlan Latte cups, which is twice the amount spent on buying Shengsheng Oolong. Find the price of Youlan Latte.

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