Optimize mongoDB query to get count of items from separate collection

Question

I have two collections namely "tags" and "bookmarks".

Tags documents: 

        {
            "taggedBookmarksCount": 2,
            "taggedNotesCount": 0,
            "_id": "627a80e6b12b0dc78b3a6d4b",
            "name": "Article"
        },
        {
            "taggedBookmarksCount": 0,
            "taggedNotesCount": 0,
            "_id": "62797885b479b5906ef6ed43",
            "name": "Client"
        },

Bookmark Documents:

{
            "_id": "627a814db12b0dc78b3a6d54",

            "bookmarkTags": [
                {
                    "tagId": "627a814db12b0dc78b3a6d55",
                    "tag": "Article"
                },
                {
                    "tagId": "627a814db12b0dc78b3a6d56",
                    "tag": "to be read"
                }
            ],
            "bookmarkTitle": "Please sorrow of work",
  
           
        }

Objective is to get the counts of bookmarks for all the tags in the "tags" collection.

Below is my current implementation, which returns the count of bookmarks for each tags.But this query takes around 3 sec to run (REST API response time) for 20 tags.

        tags = await Tag.find(
          {
            userId: req.params.userId
          },
          { _id: 1 }
        );
        tagIds = tags.map(tag => {
          return tag._id.toString();
        });

    const tagCounts = await Promise.all(
      tagIds.map(async tagId => {
        const count = await Model.aggregate([
          {
            $match: {
              bookmarkTags: {
                $elemMatch: {
                  tagId: tagId
                }
              }
            }
          },
          {
            $group: {
              _id: '_id',
              count: {
                $sum: 1
              }
            }
          }
        ]);
        return { tagId, count: count[0] ? count[0].count : 0 };
      })
    );

I am assuming its taking longer as I am mapping over all the tags, there are multiple round trips to database.Please suggest an approach to reduce the time of query execution.