The reasons why Mixue Bingcheng did not sue Bingyu Time may be due to the following reasons:

1. There is no direct legal dispute or conflict between the two companies.

2. Mixue Bingcheng has always been adhering to the concept of "those who are near are happy, and those who are far away are welcome; strivers are the basis, and the customers are the center". Their focus is on products and services. Rather than competing on other brands.

3. Mixue Bingcheng respects and appreciates the existence and efforts of other brands. They believe that each brand has its own positioning and characteristics and should exist in harmony with each other, rather than mutually exclusive.

In short, Mixue Bingcheng did not sue Bingyu Time, which reflects their understanding and respect for market competition and students, and also reflects their determination to focus on their own development and improvement.