Currently, teachers cannot move courses to other categories so that the archiving sequence is not bypassed by moving courses to a new semester and continuing to use them with the students' data.
However, you can simply import the content of the source course into a new course in the target category.
1. create a new, empty course in the desired target category.
2. go to 'More > Course reuse' in the target course
3. select 'Import'
4. now select the desired source course and specify which settings and content you want to import.
5. complete the import settings by clicking on 'Perform import'.