Finding a match inside an object of an array field, using mongoose

I have this schema:

var eventSchema = new mongoose.Schema({
    name: String,
    tags: [{
        tagId: mongoose.Schema.Types.ObjectId,
        name: String,
        description: String
    }],
});

var Event = mongoose.model('Event', eventSchema);

And a array of tags ids, eg:

var arrayOfTagsIds = [23, 55, 71];
 // in this example I'm not using real mongo id's, which are strings

How can I use mongoose's find to search Events that have any of these tags?

For example, this event should be in the results because it has tagId 23 and tagId 55:

{
   _id: ...,
   name: 'Football tournament',
   tags: [{ tagId: 23, name: 'football', description: '' },
         { tagId: 55, name: 'tournament', description: '' }]
}

How must be the query inside find function?

I was thinking of using: tags.tagId: {$in: arrayOfTagsIds} but I don't think that is going to work (it doesn't sound okay to use tags.tagId, because tags is an array)

Event
.find({tags.tagId: {$in: arrayOfTagsIds}})
.exec(function (err, events) { ... }

Also, doing this kind of query is too slow?