feat(deploy): compose w/ nginx api-prefix ingress, scaled stateless api, e2e smoke

deploy/Dockerfile.api

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+FROM golang:1.26-alpine AS build
+WORKDIR /src
+COPY backend/go.mod backend/go.sum ./
+RUN go mod download
+COPY backend/ ./
+RUN CGO_ENABLED=0 go build -trimpath -o /server ./cmd/server
+
+FROM alpine:3.20
+RUN adduser -D -H app
+COPY --from=build /server /server
+USER app
+EXPOSE 8080
+ENTRYPOINT ["/server"]

deploy/Dockerfile.web

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+FROM nginx:1.27-alpine
+COPY deploy/nginx.conf /etc/nginx/conf.d/default.conf
+COPY deploy/web-dist /usr/share/nginx/html

deploy/nginx.conf

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+server {
+  listen 80;
+  client_max_body_size 200m;
+  resolver 127.0.0.11 valid=10s;
+
+  location /api/ {
+    set $upstream http://api:8080;   # 变量式 → 每次按 DNS 解析,scale 后轮询到新副本
+    proxy_pass $upstream;            # 无 URI 部分:保留 /api 前缀转发
+    proxy_set_header Host $host;
+    proxy_set_header X-Real-IP $remote_addr;
+    proxy_set_header X-Forwarded-For $proxy_add_x_forwarded_for;
+  }
+
+  location / {
+    root /usr/share/nginx/html;
+    try_files $uri /index.html;
+  }
+}

deploy/web-dist/index.html

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+<!doctype html><title>booklib</title><p>backend up — frontend lands in Plan 2.</p>