Add Dockerfile with multi-stage build for CLI binary

Dockerfile

@@ -0,0 +1,36 @@
+# Build stage
+FROM oven/bun:1 AS builder
+WORKDIR /app
+
+# Install dependencies
+COPY package.json bun.lock* ./
+RUN bun install --frozen-lockfile
+
+# Copy source files
+COPY . .
+
+# Build CLI binary (smallest possible)
+RUN mkdir -p dist/bin && \
+    bun build --compile --minify --sourcemap=none --target=bun-linux-x64 \
+    src/cli.ts --outfile dist/bin/claude-remote
+
+# Runtime stage - for running the server
+FROM oven/bun:1-slim
+WORKDIR /app
+
+# Copy only what's needed for server
+COPY --from=builder /app/node_modules ./node_modules
+COPY --from=builder /app/src ./src
+COPY --from=builder /app/package.json ./
+
+# Copy CLI binary for extraction if needed
+COPY --from=builder /app/dist/bin/claude-remote /app/dist/bin/
+
+# Create data directory
+RUN mkdir -p data/prod
+
+ENV PORT=7200
+ENV DB_PATH=/app/data/prod/claude-remote.db
+EXPOSE 7200
+
+CMD ["bun", "run", "src/server.ts"]