import .md file from index.js children doesnot work

[hualayn]

Describe the bug

when i import the .md file in the component of children section like below, it doesnot work.
otherwise in the parent component it works well.
pls help me with this problem and how to do to make it work in the children section

// index.js
import { createRouter, createWebHistory } from 'vue-router'
import MyView from '../views/MyView.vue'

const router = createRouter({
  history: createWebHistory(import.meta.env.BASE_URL),
  routes: [
    {
      path: '/',
      name: 'home',
      component: MyView,
    },
    {
      path: '/one',
      component: () => import('../pages/one.md'),
      children: [
        {
          path: 'sub-a',
          component: () => import("../pages/one-sub-a.md")
        },
        {
          path: 'sub-b',
          component: () => import("../pages/one-sub-b.md")
        }
      ]
    },
    {
      path: '/two',
      component: () => import('../pages/two.md')
    },
  ],
})

export default router

// App.vue
<template>
  <nav>
    <RouterLink to="/">home</RouterLink>|
    <RouterLink to="/one">one</RouterLink>|
    <RouterLink to="/two">two</RouterLink>|
    <RouterLink to="/one/sub-a">one-sub-a</RouterLink>|
    <RouterLink to="/one/sub-b">one-sub-b</RouterLink>
  </nav>
  <br />
  <div>
    <RouterView />
  </div>  
</template>

// vite.config.js
import { fileURLToPath, URL } from 'node:url'

import { defineConfig } from 'vite'
import vue from '@vitejs/plugin-vue'
import vueDevTools from 'vite-plugin-vue-devtools'
import Markdown from 'unplugin-vue-markdown/vite'

// https://vite.dev/config/
export default defineConfig({
  plugins: [
    vue({
      include: [/\.vue$/, /\.md$/], // <-- allows Vue to compile Markdown files
    }),
    vueDevTools(),
    Markdown()
  ],
  resolve: {
    alias: {
      '@': fileURLToPath(new URL('./src', import.meta.url))
    },
  },
})

Reproduction

https://github.com/hualayn/unplugin-vue-markdown-test

System Info

System:
    OS: Windows 11 10.0.26100
    CPU: (4) x64 Intel(R) Core(TM) i3-7100 CPU @ 3.90GHz
    Memory: 6.23 GB / 15.88 GB
  Binaries:
    Node: 22.11.0 - ~\AppData\Local\fnm_multishells\7424_1735279886876\node.EXE
    npm: 11.0.0 - ~\AppData\Local\fnm_multishells\7424_1735279886876\npm.CMD
  Browsers:
    Edge: Chromium (129.0.2792.79)

Used Package Manager

npm

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• The provided reproduction is a minimal reproducible of the bug.