The phrase "made a beginning" refers to the act of starting a project or task. There are a variety of synonymous phrases that can be used to convey this idea, including "commenced," "embarked upon," "initiated," "launched," "set out," and "started off." Each of these phrases can be used depending on the context of the situation. For example, if someone is beginning a new business venture, they may say they are "launching" their company. Alternatively, someone starting a new exercise routine may say they are "embarking upon" a fitness journey. No matter which phrase is used, they all indicate the beginning stages of a new endeavor.