Mongoose: Update parent on child update

Working with Data Node.js Frameworks
1

Is there a way to update all associated nested parents on child update? I’m creating a multi-level navbar like Notion in React. The first nested items display without any issues. However, all items 2+ levels deep don’t update. I believe this is the problem:

A
|
|_B
  |
  |_C

When C is added, A knows that B exists. B knows that C exists. But A doesn’t know that C exists.

This is the schema:

const DocumentSchema = new Schema({
  name: { type: String, },
  subdocument: [this],
});

This is the returned data in mongodb:

A:

{
name: 'A'
_id:613bd8b351b6f2ba33d229e8
subdocument: 
    {
     name: 'B'
     _id: 613bd8b651b6f2ba33d229ef
     subdocument: {[]}
    }
}

B:

{
name: 'B'
_id: 613bd8b651b6f2ba33d229ef
subdocument: 
    {
     name: 'C'
     _id: 613bd8bc51b6f2ba33d229f5
     subdocument: {[]}
    }
}

C:

{
name: 'C'
_id: 613bd8bc51b6f2ba33d229f5
subdocument: {[]}
}

I’m trying to accomplish this (but for an unknown depth):

A:

{
name: 'A'
_id:613bd8b351b6f2ba33d229e8
subdocument: 
    {
     name: 'B'
     _id: 613bd8b651b6f2ba33d229ef
     subdocument: {
                  name: 'C'
                  _id: 613bd8bc51b6f2ba33d229f5
                  subdocument: {[]}
                  }
    }
}

How would I go about updating mongoDB so that the parent and all the children are updated to reflect the correct information? Thank you so much!