Add Docker packaging and migrate from better-sqlite3 to libsql

Docker self-hosting support:
- Dockerfile (multi-stage Alpine build with tini init)
- docker-compose.yml with named volume for SQLite persistence
- /api/health endpoint for container health checks
- Auto-migration on startup via drizzle-orm/libsql/migrator
- Graceful shutdown (SIGTERM stops scheduler, closes DB)
- Next.js standalone output mode for minimal image size

Database driver migration (better-sqlite3 → @libsql/client):
- Eliminates native C++ compilation, enabling Alpine Docker images
- All DB queries converted from sync to async across services and routes
- DATABASE_URL now uses libsql file: prefix format
- drizzle.config.ts dialect changed to turso for libsql support
- Initial migration files generated in drizzle/

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

package.json

@@ -8,6 +8,7 @@
     "start": "next start",
     "lint": "biome check",
     "format": "biome format --write",
+    "check-types": "tsc --noEmit",
     "db:generate": "drizzle-kit generate",
     "db:migrate": "drizzle-kit migrate",
     "db:push": "drizzle-kit push",
@@ -15,14 +16,14 @@
   },
   "dependencies": {
     "@base-ui/react": "^1.2.0",
+    "@libsql/client": "^0.17.0",
     "@tabler/icons-react": "^3.37.1",
-    "better-auth": "^1.4.19",
-    "better-sqlite3": "^12.6.2",
+    "better-auth": "^1.5.0",
     "class-variance-authority": "^0.7.1",
     "clsx": "^2.1.1",
     "cmdk": "^1.1.1",
     "date-fns": "^4.1.0",
-    "drizzle-orm": "^0.45.1",
+    "drizzle-orm": "1.0.0-beta.15-859cf75",
     "embla-carousel-react": "^8.6.0",
     "motion": "^12.34.3",
     "next": "16.1.6",
@@ -30,24 +31,24 @@
     "react-day-picker": "^9.14.0",
     "react-dom": "19.2.4",
     "react-hotkeys-hook": "^5.2.4",
-    "react-resizable-panels": "^4.6.5",
+    "react-resizable-panels": "^4.7.0",
     "recharts": "2.15.4",
     "shadcn": "^3.8.5",
     "sonner": "^2.0.7",
     "tailwind-merge": "^3.5.0",
     "tw-animate-css": "^1.4.0",
     "uuid": "^13.0.0",
-    "vaul": "^1.1.2"
+    "vaul": "^1.1.2",
+    "zod": "^4.3.6"
   },
   "devDependencies": {
     "@biomejs/biome": "2.4.4",
     "@tailwindcss/postcss": "^4.2.1",
-    "@types/better-sqlite3": "^7.6.13",
-    "@types/node": "^25.3.2",
+    "@types/node": "^25.3.3",
     "@types/react": "^19.2.14",
     "@types/react-dom": "^19.2.3",
     "babel-plugin-react-compiler": "1.0.0",
-    "drizzle-kit": "^0.31.9",
+    "drizzle-kit": "1.0.0-beta.15-859cf75",
     "tailwindcss": "^4.2.1",
     "typescript": "^5.9.3"
   }