Javascript – When data takes time to load in vue, data not available into different child component

`I am new in vue and facing issues here.
My top parent is this page code which mentioned below and there is 2 child component.
it is like this {CURRENT PAGE..} > {FancyButton} > {AnotherViewChild}
I want to use provide and inject to pass value from current parent component to grand child AnotherViewChild component which can be possible with bellow code, no issues. but If I use setTimeOut to delay to get message, I am getting [] value.

How I can get solution for this?
Normally It can happen when large data coming from backend.
My demo message data is like..
message.value = [{id: 1, name: "ddl"},{id: 2, name: "Omen ser"},{id: 3, name: "natural sea"},…]`

<script setup lang="ts">
import { ref, provide, computed, onMounted } from 'vue'
import FancyButton from './FancyButton.vue'
let someValue: any[]
  const message = ref<any[]>([])
  
  message.value = [
      {id: 1, name: "ddl"},
      {id: 2, name: "Omen ser"},
      {id: 3, name: "natural sea"},
      {id: 4, name: "Whale is swiming"},
      {id: 5, name: "Best food in"},
      {id: 6, name: "Better choice"},
      {id: 7, name: "What is next?"},
      {id: 8, name: "Other Option"},
    ]
  
  someValue = []
  onMounted(() => {
    setTimeout(() => {
    message.value = [
      {id: 1, name: "ddl"},
      {id: 2, name: "Omen ser"},
      {id: 3, name: "natural sea"},
      {id: 4, name: "Whale is swiming"},
      {id: 5, name: "Best food in"},
      {id: 6, name: "Better choice"},
      {id: 7, name: "What is next?"},
      {id: 8, name: "Other Option"},
    ]
  }, 2000)
  })
  
  
  console.log('-------->', message.value)
  provide('message', message.value)
  


computed(() => {
  console.log('-------->', someValue)
})


</script>

<template>
  <div style="border: 1px solid purple">
    <!-- <h1>Hello</h1>
    <h2 style="color: red">{{ count }}</h2>
    <button @click="addButton" style="color: red">Add</button> -->
    
    <FancyButton>
       <AnotherViewChild />
      <div class="role">Role</div>
      <div class="role">Role</div>
    </FancyButton>
  </div>

</template>

<style scoped>
.role {
  color:green
}
.read-the-docs {
  color: #888;
}
</style>

I am expecting if I use settimeout, data should be available after mentioned timeframe in message.value and can show in my child component <AnotherViewChild /> using provide, inject. Please help.
Expected screenshot