Сделать экшн, в котором выполнить запрос.
actions.loadMenu     = async ({ commit, state }, payload) => {
    if (!state.menus[payload.menu] || payload.force) {
        let response = await Vue.axios.get('/menu/' + payload.menu);
        if (response.status === 200) {
            commit('setMenu', { menu: payload.menu, data: response.data });
        }
    }
};
UPDATE:store.jsimport axios from 'axios';
export default new vuex.Store({
    state: {
        params: null,
    },
    mutations:{
        setParams(state, payload){
            state.params = payload;
        }
    },
    actions: {
        async getParams({comit, state}){
            let response = await axios.get('information/account');
            if (response.status === 200) {
                commit('setParams', response.data);
            }
        }
    }
});
IdWeb.vueimport { mapState } from 'vuex';
export default {
    name: 'IdWeb',
    computed: {
        ...mapState([
            'params'
        ])
    },
    mounted() {
        this.$store.dispath('getParams');
    },
}
<template>
    <li class="state_account_id" v-if="params">
        ID: {{params.id}}
    </li>
</template>