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/pagination.tsx

@@ -0,0 +1,118 @@
+import * as React from "react";
+import { cn } from "cn";
+
+import { Button } from "@/components/ui/button";
+import { ChevronLeftIcon, ChevronRightIcon, MoreHorizontalIcon } from "lucide-react";
+
+function Pagination({ className, ...props }: React.ComponentProps<"nav">) {
+  return (
+    <nav
+      role="navigation"
+      aria-label="pagination"
+      data-slot="pagination"
+      className={cn("mx-auto flex w-full justify-center", className)}
+      {...props}
+    />
+  );
+}
+
+function PaginationContent({ className, ...props }: React.ComponentProps<"ul">) {
+  return (
+    <ul
+      data-slot="pagination-content"
+      className={cn("flex items-center gap-0.5", className)}
+      {...props}
+    />
+  );
+}
+
+function PaginationItem({ ...props }: React.ComponentProps<"li">) {
+  return <li data-slot="pagination-item" {...props} />;
+}
+
+type PaginationLinkProps = {
+  isActive?: boolean;
+} & Pick<React.ComponentProps<typeof Button>, "size"> &
+  React.ComponentProps<"a">;
+
+function PaginationLink({ className, isActive, size = "icon", ...props }: PaginationLinkProps) {
+  return (
+    <Button
+      variant={isActive ? "outline" : "ghost"}
+      size={size}
+      className={cn(className)}
+      nativeButton={false}
+      render={
+        <a
+          aria-current={isActive ? "page" : undefined}
+          data-slot="pagination-link"
+          data-active={isActive}
+          {...props}
+        />
+      }
+    />
+  );
+}
+
+function PaginationPrevious({
+  className,
+  text = "Previous",
+  ...props
+}: React.ComponentProps<typeof PaginationLink> & { text?: string }) {
+  return (
+    <PaginationLink
+      aria-label="Go to previous page"
+      size="default"
+      className={cn("pl-1.5!", className)}
+      {...props}
+    >
+      <ChevronLeftIcon data-icon="inline-start" />
+      <span className="hidden sm:block">{text}</span>
+    </PaginationLink>
+  );
+}
+
+function PaginationNext({
+  className,
+  text = "Next",
+  ...props
+}: React.ComponentProps<typeof PaginationLink> & { text?: string }) {
+  return (
+    <PaginationLink
+      aria-label="Go to next page"
+      size="default"
+      className={cn("pr-1.5!", className)}
+      {...props}
+    >
+      <span className="hidden sm:block">{text}</span>
+      <ChevronRightIcon data-icon="inline-end" />
+    </PaginationLink>
+  );
+}
+
+function PaginationEllipsis({ className, ...props }: React.ComponentProps<"span">) {
+  return (
+    <span
+      aria-hidden
+      data-slot="pagination-ellipsis"
+      className={cn(
+        "flex size-8 items-center justify-center [&_svg:not([class*='size-'])]:size-4",
+        className
+      )}
+      {...props}
+    >
+      <MoreHorizontalIcon />
+      <span className="sr-only">More pages</span>
+    </span>
+  );
+}
+
+export {
+  Pagination,
+  PaginationContent,
+  PaginationEllipsis,
+  PaginationItem,
+  PaginationLink,
+  PaginationNext,
+  PaginationPrevious,
+};