MongoDB - Query to display childname with his parent name

Lets say we have following data in our person collection.

 db.person.insertMany([
  { _id: 1, name: "Tushar Mane", parentId: 0 },
  { _id: 2, name: "Nitin Mane", parentId: 1 },
  { _id: 3, name: "Suraj Kohli", parentId: 0 },
  { _id: 4, name: "Daksha Kohli", parentId: 3 },
  { _id: 5, name: "Sushil Mane", parentId: 1 }
]); 

{ "acknowledged" : true, "insertedIds" : [ 1, 2, 3, 4, 5 ] }

 db.person.find({}) 

{ "_id" : 1, "name" : "Tushar Mane", "parentId" : 0 }
{ "_id" : 2, "name" : "Nitin Mane", "parentId" : 1 }
{ "_id" : 3, "name" : "Suraj Kohli", "parentId" : 0 }
{ "_id" : 4, "name" : "Daksha Kohli", "parentId" : 3 }
{ "_id" : 5, "name" : "Sushil Mane", "parentId" : 1 }

Write a query to display output as shown below.

childId | childName | parentId | parentName

 db.person.aggregate([
  {
    $lookup: {
      from: "person",
      localField: "parentId",
      foreignField: "_id",
      as: "parent"
    }
  },
  {
    $unwind: {
      path: "$parent",
      //preserveNullAndEmptyArrays: true 
    }
  },
  {
    $project: {
      _id:0,
      childId: "$_id",
      childName: "$name",
      parentId: "$parent._id",
      parentName: "$parent.name"
    }
  }
]);