[area:shadcn] shadcn init — components.json, lib/utils, Tailwind config

[fray-cloud]

Scope

• apps/web/components.json (shadcn config)
• apps/web/src/lib/utils.ts (cn helper using clsx + tailwind-merge)
• apps/web/tailwind.config.{js,ts} — add shadcn theme extension (keep daisyUI plugin enabled)
• apps/web/src/app/globals.css — add shadcn CSS variables / base layer
• package.json — add class-variance-authority, clsx, tailwind-merge, lucide-react

Acceptance

• npx nx affected -t lint test build green
• npx shadcn@latest init completed non-interactively; components.json committed
• No existing component visually changes (pure scaffolding PR)
• daisyUI plugin still active — no class removals in this PR

Depends on

• [area:shadcn] daisyUI → shadcn/ui 전환 #8

Research

• context7: shadcn/ui Next.js App Router init
• fallback: https://ui.shadcn.com/docs/installation/next

Risk

low — config-only, no consumer swap.

Steps

1. Run npx shadcn@latest init inside apps/web with App Router + CSS variables + front/* alias (@/* mapped to apps/web/src/* via components.json aliases).
2. Commit components.json, lib/utils.ts, updated tailwind.config, updated globals.css.
3. Verify front/lib/utils import resolves from a dummy spot, then remove.
4. npx nx affected -t lint test build.