In Joy of Life, the Crown Prince was not the Third Prince. The Crown Prince's name was Li Chengqian. The Third Prince's name was Li Chengping. As for the specific plot and episodes of the Crown Prince and the Third Prince, there was no clear information in the search results provided, so it was impossible to answer this question.

In the fifth episode of Zhenguan Prince, the prince experienced the ups and downs of the business world and competed with others for benefits. Compared to the Crown Prince's foresight, the others 'actions were more like children playing house.
The 18th episode of " I Am the Crown Prince " was an episode of the drama. It was about the protagonist, Xiao Lang, who had traveled to ancient times and stayed in a brothel for three years without returning home, becoming a useless prince in everyone's eyes. According to the plot introduction, Xiao Lang witnessed his mother being burned alive at the beginning of his transmigration, so he lived an ignoble life and eventually trained all the women in the brothel into special forces. However, other than the details of the plot and the development of the game, the current search results did not provide any information.
Crown Prince and Crown Prince were two different titles. According to the documents of Noble Prisoner and Nanjing Daily, Zhu Biao was the son of Zhu Yuanzhang and was made the heir and crown prince. And according to the documents of Great Ming Elegance, the conversation between the Crown Prince and the Crown Princess showed that they were a couple and had a son. According to the document " The Hat of a Prince of the Ming Dynasty "," A Study of the Apparels Unearthed from the Tomb of the King Huang of the Ming Dynasty ", the royal family members below the emperor of the Ming Dynasty, such as the crown prince, the prince, and the prince, had some differences in their clothing. In summary, the crown prince and the shizi were different titles. The crown prince referred to the emperor's son, while the shizi referred to the emperor's eldest son.
There were different opinions on whether the Third Prince was the Crown Prince or not. Some documents stated that the Third Prince of the Qing Dynasty was the Crown Prince, while others believed that the Crown Prince and the Third Prince were different people. According to the relevant documents, the Crown Prince was the Qing Emperor's eldest son, and the Third Prince was the Qing Emperor's fourth son. Although the Qing Emperor initially wanted to support the Crown Prince as the successor, he eventually abolished the Crown Prince and placed the Eldest Princess under house arrest. In the plot, the Third Prince became the Emperor of the Qing Kingdom. Therefore, according to the information provided, the Third Prince of the Qing Dynasty was not the Crown Prince.
The Crown Prince and the First Prince in Joy of Life were not the same person. The Crown Prince was older than the Eldest Prince. The Crown Prince was conferred the title of Crown Prince the moment he was born and was not in the Prince Sequence. The First Prince's mother was not the Empress. Therefore, it could be concluded that the First Prince of Joy of Life was not the Crown Prince.
The Crown Prince and the Crown Prince were not exactly the same. It could be seen that the Crown Prince referred to the Emperor's son, the heir to the throne. The crown prince would usually receive specialized education, study Confucian classics, and handle state affairs with the assistance of the emperor. However, the crown prince referred to the person with the highest title among the crown princes, usually the eldest son of the emperor. The Crown Prince might receive more attention and expectations in education and government affairs. Therefore, although the crown prince and the crown prince had some similarities, there were some differences in status and responsibilities.
The plot of the Eldest Princess and the Crown Prince appeared in the 15th episode of Joy of Life.
The scene of the Eldest Princess sacrificing herself to the Crown Prince happened in the 15th episode of the TV series Joy of Life.
The plot of the eldest princess and the crown prince in the TV series "Celebrating Years" appeared in episode 15.
In the TV series Joy of Life, there was no plot of the Eldest Princess sacrificing herself to the Crown Prince. In the original novel, the plot of the Eldest Princess sacrificing herself to the Crown Prince took place in chapter 86 of the sixth volume. Therefore, it was impossible to determine which episode the Eldest Princess and Crown Prince were in.