Is there a way to add Vuex to Vue plugin install function and share state between its components?

Basically i want to use my own store inside vue install and vue components i add throught my vue plugin.

I found that i can use vuex inside actual install function and do everything vuex can, but i can't seem to pass it to my custom components.

Is there any other ways to add global events in my SFC's that i add inside my plugin?

import MyComponent from './MyComponent.vue'
import MySecondComponentfrom './MySecondComponent.vue'
import Vuex from 'vuex'
import store from './store.js'

const CustomFn = function(message, options) {
    this.$store.dispatch("someRandomAction", { message, options })
}

export default {
    install(Vue, options) {
        if (this.installed) { return }
        this.installed = true

        Vue.use(Vuex)

        const storeInstance = new Vuex.Store(store)

        Vue['store'] = storeInstance

        // is there a way to add storeInstance to my own components and share one state between them?
        Vue.component('MyComponent', Vue.extend(MyComponent))
        Vue.component('MySecondComponent', Vue.extend(MySecondComponent))

        Vue.prototype['$doStuff'] = CustomFn
        Vue['doStuff'] = CustomFn
    }
}

Problem is that I cannot pass this Vuex store instance inside MyComponent and share the same store between multiple components.