[Vuejs]-Vue v-on:click fails to work after build

Both Angular and Vue want to control the DOM, but they can’t. You have to segregate them, just as you have to do to use jQuery with Vue or Boostrap with Angular, so that only one or the other is controlling any particular bit of the DOM. If Vue is running the show, you would make wrapper components to segregate the Angular bits. If (as it sounds like) Angular is running the show, you will need to make directives to segregate the Vue bits.