I have documents of the following form present in a collection:

{
  name: "Michael",
  likes: [{ name: "reading", amount: 80}, {name: "eating", amount: 70}]
}

I want to add a new field to all the documents which will be 0/1 depending on whether the person likes reading. I have to check for the presence of likes.name = "reading". I tried adding the following stage in my aggregation pipeline to achieve this:

$addFields: {
  likes_reading: {
    $cond: {
      if: {
        $eq: ["$likes.name", "reading"]
      },
      then: 1,
      else: 0
    }
  }
}

However, $eq doesn't seem to be checking if "any" element of likes array has the required name, which is the kind of behaviour I've seen in many other places when we compare values with arrays. As a result all the likes_reading are set to 0. I need help setting this new field properly.