feat: add production deployment config

- Add docker-compose.prod.yml and Caddyfile for Caddy reverse proxy
- Add production stages to frontend Dockerfile (nginx for static files)
- Fix monorepo package exports for production builds (dist/src paths)
- Add CORS_ORIGIN env var for cross-origin config
- Add Better Auth baseURL, cookie domain, and trusted origins from env
- Use VITE_API_URL for API calls in auth-client and play route
- Add credentials: include for cross-origin fetch requests
- Remove unused users table from schema

apps/web/Dockerfile

@@ -17,3 +17,20 @@ COPY --from=deps /app/node_modules ./node_modules
 COPY . ./
 EXPOSE 5173
 CMD ["pnpm", "--filter", "web", "dev", "--host"]
+
+# 4. Build
+FROM base AS builder
+WORKDIR /app
+COPY --from=deps /app/node_modules ./node_modules
+COPY . .
+RUN pnpm install
+ARG VITE_API_URL
+ENV VITE_API_URL=$VITE_API_URL
+RUN pnpm --filter shared build
+RUN pnpm --filter web build
+
+# 5. Production — just nginx serving static files
+FROM nginx:alpine AS production
+COPY --from=builder /app/apps/web/dist /usr/share/nginx/html
+COPY apps/web/nginx.conf /etc/nginx/conf.d/default.conf
+EXPOSE 80