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/progress.tsx

@@ -0,0 +1,65 @@
+"use client";
+
+import { Progress as ProgressPrimitive } from "@base-ui/react/progress";
+import { cn } from "cn";
+
+function Progress({ className, children, value, ...props }: ProgressPrimitive.Root.Props) {
+  return (
+    <ProgressPrimitive.Root
+      value={value}
+      data-slot="progress"
+      className={cn("flex flex-wrap gap-3", className)}
+      {...props}
+    >
+      {children}
+      <ProgressTrack>
+        <ProgressIndicator />
+      </ProgressTrack>
+    </ProgressPrimitive.Root>
+  );
+}
+
+function ProgressTrack({ className, ...props }: ProgressPrimitive.Track.Props) {
+  return (
+    <ProgressPrimitive.Track
+      className={cn(
+        "relative flex h-1 w-full items-center overflow-x-hidden rounded-full bg-muted",
+        className
+      )}
+      data-slot="progress-track"
+      {...props}
+    />
+  );
+}
+
+function ProgressIndicator({ className, ...props }: ProgressPrimitive.Indicator.Props) {
+  return (
+    <ProgressPrimitive.Indicator
+      data-slot="progress-indicator"
+      className={cn("h-full bg-primary transition-all", className)}
+      {...props}
+    />
+  );
+}
+
+function ProgressLabel({ className, ...props }: ProgressPrimitive.Label.Props) {
+  return (
+    <ProgressPrimitive.Label
+      className={cn("text-sm font-medium", className)}
+      data-slot="progress-label"
+      {...props}
+    />
+  );
+}
+
+function ProgressValue({ className, ...props }: ProgressPrimitive.Value.Props) {
+  return (
+    <ProgressPrimitive.Value
+      className={cn("ml-auto text-sm text-muted-foreground tabular-nums", className)}
+      data-slot="progress-value"
+      {...props}
+    />
+  );
+}
+
+export { Progress, ProgressTrack, ProgressIndicator, ProgressLabel, ProgressValue };