How to update Vue component property when Vuex store state changes?

I'm building a simple presentation tool where I can create presentations, name them and add/remove slides with Vue js and Vuex to handle the app state. All is going great but now I'm trying to implement a feature that detects changes in the presentation (title changed or slide added/removed) and couldn't not yet find the right solution for it. I'll give the example only concerning the title change for the sake of simplicity. Right now in my Vuex store I have:

const state = {    presentations: handover.presentations, //array of objects that comes from the DB    currentPresentation: handover.presentations[0]}

In my Presentation component I have:

export default {    template: '#presentation',    props: ['presentation'],    data: () => {        return {            shadowPresentation: ''        }    },    computed: {        isSelected () {            if (this.getSelectedPresentation !== null) {                return this.presentation === this.getSelectedPresentation            }            return false        },        hasChanged () {            if (this.shadowPresentation.title !== this.presentation.title) {                return true            }            return false        },        ...mapGetters(['getSelectedPresentation'])    },    methods: mapActions({        selectPresentation: 'selectPresentation'    }),    created () {        const self = this        self.shadowPresentation = {            title: self.presentation.title,            slides: []        }        self.presentation.slides.forEach(item => {            self.shadowPresentation.slides.push(item)        })    }}

What I've done so far is to create a shadow copy of my presentation when the component is created and then by the way of a computed property compare the properties that I'm interested in (in this case the title) and return true if anything is different. This works for detecting the changes but what I want to do is to be able to update the shadow presentation when the presentation is saved and so far I've failed to do it. Since the savePresentation action triggered in another component and I don't really know how pick the 'save' event inside presentation component I fail to update my shadow presentation. Any thoughts on how I could implement such feature? Any help would be very appreciated! Thanks in advance!