Add a (key : value) into a infinite nested children object

Question

I have an Array like below (code session 2) . And I want add id : random into {child Obj} like this:

{
  name : "Peter",
  age : "18",
  profession : "nurse",
  id : String(Math.random())
  children : [],
 }

But it have 2 cases : value of key children may be [ ] or [ length !== 0 ]. I want to loop infinity the parent Array and add id for all.

Note : value of key children inside every {childObj} maybe an Array look like Parent Array. My final target is set id for all element from response API look like the template array

Thank you too much and sorry about my English if it make you feel complex

[{
  name : "Peter",
  age : "18",
  profession : "nurse",
  children : []
 }
 { 
   name: "Jack",
   age: "98" ,
   profession: "doctor",
   children: [ {
                 name : "Peter",
                 age : "18",
                 profession : "nurse",
                children : []
               },
               {
                 name: "Varun",
                 age: "80"
                 profession: "scientist"
                 children: [
                             {
                                name: "Ishan"
                                age: "62",
                                profession: "teacher
                                children: [{....
                                 .....
                                 .....[{
                                       name: "Rahul",
                                       age: "23",
                                       profession: "engineer"
                                      children: [{
                                                  .....

Answer 1

You can use .map() on your original data array, which returns the object along with its id. The children in the mapped object will be a mapped array, again using the same mapping function like so:

const data = [{ name: "Peter", age: "18", profession: "nurse", children: [] }, { name: "Jack", age: "98", profession: "doctor", children: [{ name: "Peter", age: "18", profession: "nurse", children: [] }, { name: "Varun", age: "80", profession: "scientist", children: [{ name: "Ishan", age: "62", profession: "teacher", children: [{ name: "Rahul", age: "23", profession: "engineer", children: [] }] }] } ] } ];

const res = data.map(function mapId({children, ...r}) {
  return {...r, id: String(Math.random()), children: children.map(mapId)};
});
console.log(res);