如何使用TypeORM将新节点添加到已有子节点的节点中？

import { Entity, PrimaryGeneratedColumn, Column, OneToMany, ManyToOne, createConnection } from "typeorm";

@Entity()
class Node {
  @PrimaryGeneratedColumn()
  id: number;

  @Column()
  name: string;

  @OneToMany(type => Node, node => node.parent)
  children: Node[];

  @ManyToOne(type => Node, node => node.children)
  parent: Node;
}

async function addNodeToParent(parentId: number, newNodeName: string) {
  const connection = await createConnection({
    type: "mysql",
    host: "localhost",
    port: 3306,
    username: "root",
    password: "password",
    database: "your_database",
    entities: [Node],
    synchronize: true,
  });

  const nodeRepository = connection.getRepository(Node);

  // 查询已有的父节点
  const parent = await nodeRepository.findOne(parentId, { relations: ["children"] });

  // 创建新的子节点
  const newNode = new Node();
  newNode.name = newNodeName;

  // 将新节点添加到父节点的子节点集合中
  parent.children.push(newNode);

  // 保存更新后的父节点到数据库
  await nodeRepository.save(parent);

  console.log("新节点已成功添加到已有子节点的节点中");

  await connection.close();
}

addNodeToParent(1, "新节点");