How can I check whether generative AI tools are allowed for an assignment at a Korean university?

If an international student in Gyeongsan wants to use a generative AI tool to check the grammar of a draft, what should they ask the lecturer before using it? How can they distinguish permitted language assistance from generating content that the assignment requires them to write themselves? If the syllabus does not explain this, should they request clarification on whether any permitted use must be disclosed in the submission?