The Syllabus is made available by default in your Canvas course and there is no need for further publishing. However, you still need to publish your Canvas course to make the Syllabus content visible during CourseReg. This is separate step from CDMS and is a Canvas course step.
Guide: https://community.canvaslms.com/t5/Instructor-Guide/How-do-I-publish-a-course/ta-p/1185
Important: To ensure that data is up-to-date, please verify that the course proposals in CMS with the applicable effective year and semester are in the 'Published' workflow state.