feat: setup full Next.js toolchain and core dependencies

- Add runtime deps: react-query, react-hook-form+zod, zustand, ky, openapi-fetch,
  better-auth, react-markdown, shiki, recharts, next-themes, nuqs, sonner, cmdk,
  vaul, embla-carousel-react, motion, date-fns, tailwind-merge, clsx, cva
- Add dev tooling: vitest, testing-library, playwright, prettier(+tailwind plugin),
  husky, lint-staged, jsdom
- Wire providers (QueryClient, Theme, NuqsAdapter, Tooltip, Sonner) into layout
- Add vitest/playwright/prettier configs + lint-staged pre-commit hook
- Add lib/query-client + lib/http (ky) helpers and sample unit test
- Fix react-hooks/set-state-in-effect lint errors (use-mobile useSyncExternalStore,
  carousel async init)
- Remove committed Next-generated types/ duplicates (regenerated under .next/types)

components/ui/alert.tsx

@@ -0,0 +1,68 @@
+import * as React from "react";
+import { cva, type VariantProps } from "class-variance-authority";
+import { cn } from "cn";
+
+const alertVariants = cva(
+  "group/alert relative grid w-full gap-0.5 rounded-lg border px-2.5 py-2 text-left text-sm has-data-[slot=alert-action]:relative has-data-[slot=alert-action]:pr-18 has-[>svg]:grid-cols-[auto_1fr] has-[>svg]:gap-x-2 *:[svg]:row-span-2 *:[svg]:translate-y-0.5 *:[svg]:text-current *:[svg:not([class*='size-'])]:size-4",
+  {
+    variants: {
+      variant: {
+        default: "bg-card text-card-foreground",
+        destructive:
+          "bg-card text-destructive *:data-[slot=alert-description]:text-destructive/90 *:[svg]:text-current",
+      },
+    },
+    defaultVariants: {
+      variant: "default",
+    },
+  }
+);
+
+function Alert({
+  className,
+  variant,
+  ...props
+}: React.ComponentProps<"div"> & VariantProps<typeof alertVariants>) {
+  return (
+    <div
+      data-slot="alert"
+      role="alert"
+      className={cn(alertVariants({ variant }), className)}
+      {...props}
+    />
+  );
+}
+
+function AlertTitle({ className, ...props }: React.ComponentProps<"div">) {
+  return (
+    <div
+      data-slot="alert-title"
+      className={cn(
+        "font-medium group-has-[>svg]/alert:col-start-2 [&_a]:underline [&_a]:underline-offset-3 [&_a]:hover:text-foreground",
+        className
+      )}
+      {...props}
+    />
+  );
+}
+
+function AlertDescription({ className, ...props }: React.ComponentProps<"div">) {
+  return (
+    <div
+      data-slot="alert-description"
+      className={cn(
+        "text-sm text-balance text-muted-foreground md:text-pretty [&_a]:underline [&_a]:underline-offset-3 [&_a]:hover:text-foreground [&_p:not(:last-child)]:mb-4",
+        className
+      )}
+      {...props}
+    />
+  );
+}
+
+function AlertAction({ className, ...props }: React.ComponentProps<"div">) {
+  return (
+    <div data-slot="alert-action" className={cn("absolute top-2 right-2", className)} {...props} />
+  );
+}
+
+export { Alert, AlertTitle, AlertDescription, AlertAction };