Implement backend API and database services in Docker setup

- Added a new `api` service for the NestJS backend, including health checks and dependencies on PostgreSQL, Redis, and MinIO.
- Introduced PostgreSQL and Redis services with health checks and configurations for data persistence.
- Added MinIO for S3-compatible object storage and a one-shot service to initialize required buckets.
- Updated the Nginx configuration to proxy requests to the new backend API and MinIO storage.
- Enhanced the Dockerfile to support the new API environment variables and configurations.
- Updated the `package.json` and `package-lock.json` to include new dependencies for QR code generation and other utilities.

Co-authored-by: Cursor <cursoragent@cursor.com>

backend/Dockerfile

@@ -0,0 +1,25 @@
+FROM node:20-alpine AS builder
+WORKDIR /app
+
+# Copy package files first for better caching
+COPY package.json package-lock.json ./
+RUN npm ci --ignore-scripts
+
+# Copy source and build
+COPY . .
+RUN npm run build
+RUN npm prune --production
+
+# ── Production image ──────────────────────────────────────────
+FROM node:20-alpine AS production
+WORKDIR /app
+
+COPY --from=builder /app/package.json ./package.json
+COPY --from=builder /app/package-lock.json ./package-lock.json
+COPY --from=builder /app/dist ./dist
+COPY --from=builder /app/node_modules ./node_modules
+
+EXPOSE 4000
+
+# Run TypeORM migrations on startup, then start the API
+CMD ["sh", "-c", "npx typeorm migration:run -d dist/database/ormconfig.js 2>/dev/null; export NODE_OPTIONS='--max-old-space-size=1024' && npm run start:prod"]