core: [Bug report]plugin-docsearch: Using the vue theme page will cause the search plugin to render repeatedly

Bug report

I used the vuepress-docSearch plugin in my theme, but it seems to be rendered repeatedly as shown in the figure below. I am very surprised that such a thing will happen. If the page is rendered with markdown page, it will not happen, but if it is used with vue page, it will happen. .

Description

The plugin-docsearch plugin repeated rendering on my vue theme page.

Steps to reproduce

1. Use Search “Mac” on my homepage,
2. After the jump Search ”vscode"
3. After the jump Search ”Mac"

• Reproduction link / repo: https://www.qbenben.com/

Expected behavior

The plugin-docsearch plugin only render once

Screenshots

• render 4 time
• But it is normal to search only after refreshing the md page

Environment info

• Browser:

  System:
    OS: macOS 12.0.1
    CPU: (12) x64 Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz
    Memory: 30.88 MB / 16.00 GB
    Shell: 5.8 - /bin/zsh
  Binaries:
    Node: 12.22.0 - /var/folders/p3/55bvbjg57lzb1d2b_mwbzykw0000gn/T/yarn--1641138157713-0.534447467104483/node
    Yarn: 1.22.4 - /var/folders/p3/55bvbjg57lzb1d2b_mwbzykw0000gn/T/yarn--1641138157713-0.534447467104483/yarn
    npm: 6.14.11 - ~/.nvm/versions/node/v12.22.0/bin/npm
  Utilities:
    Git: 2.30.1 - /usr/bin/git
  Browsers:
    Chrome: 96.0.4664.110
    Edge: Not Found
    Firefox: Not Found
    Safari: 15.1
  npmPackages:
    @vuepress/bundler-vite:  2.0.0-beta.31 (2.0.0-beta.32)
    @vuepress/bundler-webpack:  2.0.0-beta.30
    @vuepress/cli:  2.0.0-beta.31 (2.0.0-beta.32)
    @vuepress/client:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/core:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/markdown:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/plugin-active-header-links:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/plugin-back-to-top:  2.0.0-beta.30 (2.0.0-beta.32)
    @vuepress/plugin-container:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/plugin-debug: Not Found
    @vuepress/plugin-docsearch: 2.0.0-beta.29 => 2.0.0-beta.29
    @vuepress/plugin-external-link-icon:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/plugin-git:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/plugin-google-analytics:  2.0.0-beta.29
    @vuepress/plugin-medium-zoom:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/plugin-nprogress:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/plugin-palette:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/plugin-prismjs:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/plugin-pwa: Not Found
    @vuepress/plugin-pwa-popup: Not Found
    @vuepress/plugin-register-components: Not Found
    @vuepress/plugin-search: Not Found
    @vuepress/plugin-shiki: Not Found
    @vuepress/plugin-theme-data:  2.0.0-beta.29 (2.0.0-beta.32)
    @vuepress/plugin-toc: Not Found
    @vuepress/shared:  2.0.0-beta.28 (2.0.0-beta.32)
    @vuepress/theme-default:  2.0.0-beta.31 (2.0.0-beta.32)
    @vuepress/utils:  2.0.0-beta.28 (2.0.0-beta.32)
    vue:  3.2.26
    vue-loader:  16.8.3
    vue-router:  4.0.12
    vuepress: ^2.0.0-beta.31 => 2.0.0-beta.32
    vuepress-vite: 2.0.0-beta.31 => 2.0.0-beta.31 (2.0.0-beta.32)
    vuepress-webpack: 2.0.0-beta.31 => 2.0.0-beta.31