perf: optimize Docker images - backend 294MB, gateway 1.89GB

Backend:
- node:22-alpine runtime (from 1.82GB to 294MB, 84% reduction)
- COPY --chown instead of chown -R layer
- pnpm install --prod after build for clean .pnpm store
- Pinned pnpm@10 to avoid v11 build-script lockout

Gateway:
- Fixed TypeScript errors (missing table defs in shared schema)
- Restored node-crc Rust patch for native compilation
- Multi-stage build with COPY --chown
- pnpm install --prod after build
- ffmpeg with --no-install-recommends

Proxy:
- Restructured for standalone build (build errors are pre-existing)

General:
- pnpm@10 in all builds (avoids ERR_PNPM_IGNORED_BUILDS)
- Clean .dockerignore (excludes docs/design/scripts)

infra/docker/Dockerfile.proxy

@@ -3,34 +3,22 @@ FROM node:22-slim AS builder
 
 WORKDIR /build
 
-RUN corepack enable
+RUN npm install -g pnpm@10
 
-# Build essentials
+# Build essentials (native deps like sharp need g++)
 RUN apt-get update -qq && apt-get install -y -qq --no-install-recommends \
     make g++ \
     && rm -rf /var/lib/apt/lists/*
 
-# Manifest files first
-COPY services/frontend/package.json ./
-COPY services/frontend/tsconfig.json ./
-COPY services/frontend/next.config.ts ./
-
-# Install all deps, skip postinstall (no native addons needed for static export)
-RUN --mount=type=cache,id=pnpm-store,target=/root/.local/share/pnpm/store \
-    pnpm install --ignore-scripts --no-frozen-lockfile
-
-# Source code
+# Copy source + manifests
 COPY services/frontend/ ./
 
-# Build args
-ARG VITE_BE_API_URL
-ARG VITE_BE_WS_URL
-ENV VITE_BE_API_URL=${VITE_BE_API_URL}
-ENV VITE_BE_WS_URL=${VITE_BE_WS_URL}
+# Install all deps
+RUN --mount=type=cache,id=pnpm-store,target=/root/.local/share/pnpm/store \
+    pnpm install --no-frozen-lockfile
 
 # Build static export
-RUN --mount=type=cache,id=pnpm-store,target=/root/.local/share/pnpm/store \
-    npx next build
+RUN pnpm run build
 
 # ---- Runtime stage: nginx ----
 FROM nginx:alpine