如何在嵌套的Javascript对象中获取父id数组？源对象：

const obj = {
  id: '01',
  children: [
    {
      id: '02',
      children: [
        {
          id: '03',
          children: [],
        },
        {
          id: '04',
          children: [
            {
              id: '05',
              children: [],
            }
          ],
        }
      ],
    },
    {
      id: '06',
      children: [
        {
          id: '07',
          children: [],
        },
        {
          id: '08',
          children: [
            {
              id: '09',
              children: [],
            }
          ],
        }
      ],
    },
  ]
}

Func应该得到id和obj，例如，我有输入id = '08'，结果数组应该是这个顺序['01'，'06'，'08']
或标识= '05'，结果['01'，' 02 '，' 04 '，' 05 ']

const getParentsArr = (obj, id) => {
  const arr = []
  arr.push(obj.id)

  function recursiveFind(children) {
    ...
  }
  return recursiveFind(obj.children);
}