[Bug]: Utils deps and components deps isn't installed in the setup

[Mahmoudgalalz]

Reproduction

https://nuxt.new

Describe the bug

lib like class-variance-authority, clsx, tailwind-merge

is not installed while using it, have to manually doing that

System Info

System:
    OS: macOS 14.3
    CPU: (8) arm64 Apple M2
    Memory: 137.80 MB / 8.00 GB
    Shell: 5.9 - /bin/zsh
  Binaries:
    Node: 20.10.0 - ~/.nvm/versions/node/v20.10.0/bin/node
    Yarn: 1.22.1 - ~/.nvm/versions/node/v20.10.0/bin/yarn
    npm: 10.2.3 - ~/.nvm/versions/node/v20.10.0/bin/npm
  Browsers:
    Chrome: 123.0.6312.87
    Safari: 17.3
  npmPackages:
    nuxt: ^3.11.1 => 3.11.1
    shadcn-nuxt: ^0.10.2 => 0.10.2
    vue: ^3.4.21 => 3.4.21

Contributes

• I am willing to submit a PR to fix this issue
• I am willing to submit a PR with failing tests