MongoDB nesting ancestor elements into parent

I have a number of comments made on a post.

[id: 10] Root comment
|
|-- [id: 11] Reply to root
|   |
|   |-- [id: 12] Reply to reply to root
|       |
|       |-- [id: 13] Bottom comment in this chain
|
|-- [id: 19] Another reply to root

Any one comment in a chain of replies contains the full path back to the root comment.

The "bottom comment in this chain" will have its parents array looking like this:

{
  ...
  parents: [10, 11, 12, 13]
  ...
}

I'd like to get the parent comment message with replies nested into it as shown below.

{
    "_id": "10",
	"postId": "333"
    "parents": ["11","12","13"],
	...
}

I have the following aggregate query which produces incorrect results where the parent comment id i.e. 10 is included in the results.

I'm getting the parent element using the match clause and nest the reply comments using lookup.

db.comments.aggregate([
		{
			$match: { $and: [
				{ "postId": "333" },
				{ "parents": { $size: 1 } }
			]}
		},
		{
			$lookup: {
				from: "comments",
				localField: "_id",
				foreignField: "parents",
				pipeline: [{ $sort: { "createdAt": 1 }}],
				as: "replies"
			}
		},
    {
        $sort: { "createdAt": -1 }
    }
]);

You will have to filter the parent comment, in another stage, like this:

db.collection.aggregate([
  {
    "$match": {
      postId: 333,
      parents: {
        "$size": 1
      }
    }
  },
  {
    "$graphLookup": {
      "from": "collection",
      "startWith": "$parents",
      "connectFromField": "parents",
      "connectToField": "parents",
      "as": "replies",
      
    }
  },
  {
    "$addFields": {
      "replies": {
        "$filter": {
          "input": "$replies",
          "as": "item",
          "cond": {
            "$ne": [
              {
                "$size": "$$item.parents"
              },
              {
                "$size": "$parents"
              }
            ]
          }
        }
      }
    }
  }
])

Playground link