Repository: ui
Issue: [bug]: When I try to run init on a project with Tailwind V4 alpha I get an error
Labels: bug

### Describe the bug

When I have the alpha version of tailwind (v4.0.0) and try to add shadcn-ui by running init to any project I get this error.
The only solution is to add it manually. I followed [this](https://tailwindcss.com/blog/tailwindcss-v4-alpha) guide to add Tailwind V4

`error: Tailwind CSS is not installed. Visit https://tailwindcss.com/docs/installation to get started.
      at /private/tmp/bunx-501-shadcn-ui@latest/node_modules/shadcn-ui/dist/index.js:3:7112`to add

### Affected component/components

initialization of project

### How to reproduce

1. Create a React Project (Vite or NextJs it doesn't matter, they both throw the same error)
2. Add the latest alpha versions of Tailwind and PostCSS ` npm install tailwindcss@next @tailwindcss/postcss@next`
3. Run `npx shadcn-ui@latest init`

### Codesandbox/StackBlitz link

https://codesandbox.io/p/devbox/dazzling-cache-vrthst?layout=%257B%2522sidebarPanel%2522%253A%2522EXPLORER%2522%252C%2522rootPanelGroup%2522%253A%257B%2522direction%2522%253A%2522horizontal%2522%252C%2522contentType%2522%253A%2522UNKNOWN%2522%252C%2522type%2522%253A%2522PANEL_GROUP%2522%252C%2522id%2522%253A%2522ROOT_LAYOUT%2522%252C%2522panels%2522%253A%255B%257B%2522type%2522%253A%2522PANEL_GROUP%2522%252C%2522contentType%2522%253A%2522UNKNOWN%2522%252C%2522direction%2522%253A%2522vertical%2522%252C%2522id%2522%253A%2522cluhikr9800073b6euygyy6i6%2522%252C%2522sizes%2522%253A%255B70%252C30%255D%252C%2522panels%2522%253A%255B%257B%2522type%2522%253A%2522PANEL_GROUP%2522%252C%2522contentType%2522%253A%2522EDITOR%2522%252C%2522direction%2522%253A%2522horizontal%2522%252C%2522id%2522%253A%2522EDITOR%2522%252C%2522panels%2522%253A%255B%257B%2522type%2522%253A%2522PANEL%2522%252C%2522contentType%2522%253A%2522EDITOR%2522%252C%2522id%2522%253A%2522cluhikr9800023b6e7d0mqglj%2522%257D%255D%257D%252C%257B%2522type%2522%253A%2522PANEL_GROUP%2522%252C%2522contentType%2522%253A%2522SHELLS%2522%252C%2522direction%2522%253A%2522horizontal%2522%252C%2522id%2522%253A%2522SHELLS%2522%252C%2522panels%2522%253A%255B%257B%2522type%2522%253A%2522PANEL%2522%252C%2522contentType%2522%253A%2522SHELLS%2522%252C%2522id%2522%253A%2522cluhikr9800043b6eyz6p1ipd%2522%257D%255D%252C%2522sizes%2522%253A%255B100%255D%257D%255D%257D%252C%257B%2522type%2522%253A%2522PANEL_GROUP%2522%252C%2522contentType%2522%253A%2522DEVTOOLS%2522%252C%2522direction%2522%253A%2522vertical%2522%252C%2522id%2522%253A%2522DEVTOOLS%2522%252C%2522panels%2522%253A%255B%257B%2522type%2522%253A%2522PANEL%2522%252C%2522contentType%2522%253A%2522DEVTOOLS%2522%252C%2522id%2522%253A%2522cluhikr9800063b6e1s4g7oxz%2522%257D%255D%252C%2522sizes%2522%253A%255B100%255D%257D%255D%252C%2522sizes%2522%253A%255B50%252C50%255D%257D%252C%2522tabbedPanels%2522%253A%257B%2522cluhikr9800023b6e7d0mqglj%2522%253A%257B%2522id%2522%253A%2522cluhikr9800023b6e7d0mqglj%2522%252C%2522tabs%2522%253A%255B%255D%257D%252C%2522cluhikr9800063b6e1s4g7oxz%2522%253A%257B%2522id%2522%253A%2522cluhikr9800063b6e1s4g7oxz%2522%252C%2522tabs%2522%253A%255B%257B%2522type%2522%253A%2522UNASSIGNED_PORT%2522%252C%2522port%2522%253A3000%252C%2522id%2522%253A%2522cluhilint00dg3b6e0bvyhhel%2522%252C%2522mode%2522%253A%2522permanent%2522%252C%2522path%2522%253A%2522%2522%257D%255D%252C%2522activeTabId%2522%253A%2522cluhilint00dg3b6e0bvyhhel%2522%257D%252C%2522cluhikr9800043b6eyz6p1ipd%2522%253A%257B%2522id%2522%253A%2522cluhikr9800043b6eyz6p1ipd%2522%252C%2522tabs%2522%253A%255B%257B%2522id%2522%253A%2522cluhil1us004x3b6euk6u3p3l%2522%252C%2522mode%2522%253A%2522permanent%2522%252C%2522type%2522%253A%2522TERMINAL%2522%252C%2522shellId%2522%253A%2522cluhil1yf000wd9gee96h78zl%2522%257D%255D%252C%2522activeTabId%2522%253A%2522cluhil1us004x3b6euk6u3p3l%2522%257D%257D%252C%2522showDevtools%2522%253Atrue%252C%2522showShells%2522%253Atrue%252C%2522showSidebar%2522%253Atrue%252C%2522sidebarPanelSize%2522%253A15%257D

### Logs

_No response_

### System Info

```bash
Mac Os 2021 M1
Bun 1.1 (package manager I'm using for this project)
```


### Before submitting

- [X] I've made research efforts and searched the documentation
- [X] I've searched for existing issues