How to handle promise immediately after dispatch Vue JS?

Question

JavaScript

The problem is that I don’t understand how you can immediately get a response and process it, let’s say there are mounted and computed methods that help to calmly receive data:

mounted(){
    this.$store.dispatch('NAME_OF_ACTION')
},
computed: {
    getSth() { return this.$store.getters.NAME }
}

But, what if you need to immediately get some kind of Promise and insert data from it?

this.$store.dispatch('NAME_OF_ACTION').then(promise => console.log(promise))

Thus, nothing can be obtained, except that some actions are independent of this request.
Accordingly, how can you immediately process the data, what options are there? (new to VUE)