chore(deps): upgrade Next/React ecosystem, sync lockfile, and add CI/docker configs

- bump next to 16.0.0, react/react-dom to 19.2.0 and update related deps (react-day-picker, react-hook-form, zod, lightningcss, scheduler, typescript, @types/*, tailwind tooling, etc.) in package.json and bun.lock
- add overrides for @types/react and @types/react-dom
- remove --turbopack flags from package.json scripts and configure turbopack root in next.config.ts
- tighten tsconfig (jsx -> react-jsx, include extra .next dev types, formatting)
- add GitHub Actions workflow for Docker build/push (.github/workflows/main.yml)
- add Dockerfile and compose.yml for building/running containerized app

package.json

@@ -3,8 +3,8 @@
   "version": "0.1.0",
   "private": true,
   "scripts": {
-    "dev": "next dev --turbopack",
-    "build": "next build --turbopack",
+    "dev": "next dev",
+    "build": "next build",
     "start": "next start",
     "lint": "biome check",
     "format": "biome format --write"
@@ -44,28 +44,32 @@
     "embla-carousel-react": "^8.6.0",
     "input-otp": "^1.4.2",
     "lucide-react": "^0.544.0",
-    "next": "15.5.4",
+    "next": "16.0.0",
     "next-themes": "^0.4.6",
     "radix-ui": "^1.4.3",
-    "react": "19.1.0",
-    "react-day-picker": "^9.11.0",
-    "react-dom": "19.1.0",
-    "react-hook-form": "^7.63.0",
+    "react": "19.2.0",
+    "react-day-picker": "^9.11.1",
+    "react-dom": "19.2.0",
+    "react-hook-form": "^7.65.0",
     "react-resizable-panels": "^3.0.6",
     "recharts": "2.15.4",
     "sonner": "^2.0.7",
     "tailwind-merge": "^3.3.1",
     "vaul": "^1.1.2",
-    "zod": "^4.1.11"
+    "zod": "^4.1.12"
   },
   "devDependencies": {
     "@biomejs/biome": "2.2.0",
-    "@tailwindcss/postcss": "^4",
-    "@types/node": "^20",
-    "@types/react": "^19",
-    "@types/react-dom": "^19",
-    "tailwindcss": "^4",
+    "@tailwindcss/postcss": "^4.1.15",
+    "@types/node": "^20.19.23",
+    "@types/react": "19.2.2",
+    "@types/react-dom": "19.2.2",
+    "tailwindcss": "^4.1.15",
     "tw-animate-css": "^1.4.0",
-    "typescript": "^5"
+    "typescript": "^5.9.3"
+  },
+  "overrides": {
+    "@types/react": "19.2.2",
+    "@types/react-dom": "19.2.2"
   }
 }