Why does keepalive not work in NuxtLayout

[qyn980427]

Environment

• Operating System: Windows_NT
• Node Version: v18.18.0
• Nuxt Version: 3.12.4
• CLI Version: 3.12.0
• Nitro Version: 2.9.7
• Package Manager: pnpm@9.4.0
• Builder: -
• User Config: ssr, devtools, devServer, modules, svgo, security, css, pinia, plugins, imports, postcss, compatibilityDate
• Runtime Modules: dayjs-nuxt@2.1.9, @vant/nuxt@1.0.5, @unocss/nuxt@0.61.6, @nuxtjs/device@3.1.1, nuxt-radash@1.0.0, @vueuse/nuxt@10.11.0, @pinia/nuxt@0.5.2, @nuxtjs/color-mode@3.4.2, nuxt-svgo@4.0.2, nuxt-swiper@1.2.2, nuxt-security@2.0.0-rc.9, @nuxtjs/device@3.1.1
• Build Modules: -

Reproduction

https://stackblitz.com/edit/github-4czzp7?file=app.vue

1. Enter whatever you want in the input box
2. to page A
3. back index

Describe the bug

In NuxtLayout When I use ( include: ['Index'] ) in this way, keepalive not work When I use ( include: 'Index', ) in this way, keepalive work well

Additional context

No response

Logs

No response

### Tasks

[stackblitz[bot]]

Start a new pull request in StackBlitz Codeflow.

• github-4czzp7 (Open reproduction)