perf(后端): 完成性能优化与连接池配置

新增 DB/Redis 连接池配置与校验，并补充单测

网关请求体大小限制与 413 处理

HTTP/req 客户端池化并调整上游连接池默认值

并发槽位改为 ZSET+Lua 与指数退避

用量统计改 SQL 聚合并新增索引迁移

计费缓存写入改工作池并补测试/基准

测试: 在 backend/ 下运行 go test ./...

backend/internal/infrastructure/db_pool.go

@@ -0,0 +1,32 @@
+package infrastructure
+
+import (
+	"database/sql"
+	"time"
+
+	"github.com/Wei-Shaw/sub2api/internal/config"
+)
+
+type dbPoolSettings struct {
+	MaxOpenConns    int
+	MaxIdleConns    int
+	ConnMaxLifetime time.Duration
+	ConnMaxIdleTime time.Duration
+}
+
+func buildDBPoolSettings(cfg *config.Config) dbPoolSettings {
+	return dbPoolSettings{
+		MaxOpenConns:    cfg.Database.MaxOpenConns,
+		MaxIdleConns:    cfg.Database.MaxIdleConns,
+		ConnMaxLifetime: time.Duration(cfg.Database.ConnMaxLifetimeMinutes) * time.Minute,
+		ConnMaxIdleTime: time.Duration(cfg.Database.ConnMaxIdleTimeMinutes) * time.Minute,
+	}
+}
+
+func applyDBPoolSettings(db *sql.DB, cfg *config.Config) {
+	settings := buildDBPoolSettings(cfg)
+	db.SetMaxOpenConns(settings.MaxOpenConns)
+	db.SetMaxIdleConns(settings.MaxIdleConns)
+	db.SetConnMaxLifetime(settings.ConnMaxLifetime)
+	db.SetConnMaxIdleTime(settings.ConnMaxIdleTime)
+}