How filtered array if this array was exist on data selected?

Question

this is my looping skills name

.suggestions__items.multiselect__tags-wrap
    .suggestions__item.multiselect__tag(v-for="skill in filteredSkillsName" :key="skill")
      | {{ skill }}
      .multiselect__tag-icon(@click="setSugesstionSkill(skill)")

i've tried to filtered array like this in computed

computed: {
   ...mapGetters("review", ["skillsName"]),
  filteredSkillsName() {
    let skills = [...this.skillsName]
    let selected = [...this.selected]
    return skills.filter(name => name != selected)
  }
},

and this is my method to push selected skill

setSugesstionSkill(selected) {
  this.selected.push(selected)
  this.setSkills(selected)
},

the problem is when it first click.. it works but for second and more click on another skill, it will back like first