According to the policies and regulations I know, under normal circumstances, the school badge of a university is the intellectual property of the school and belongs to the school's trademark or identification symbol. Therefore, using the school's school logo online without the school's permission may constitute infringement.
In China, according to Article 10 of the Copyright Law of the People's Republic of China, entities that enjoy copyright have the right to protect the integrity and independence of their works. According to relevant regulations, independent identifiers such as school badges are considered an integral part of the work. This means that unauthorized use of the school logo, beyond the scope of fair use, may infringe the school's copyright.
However, I am not a legal expert. If you encounter similar problems, I suggest you seek professional legal advice or consult with the relevant school departments to get more accurate answers.