Mongoose – renaming object key within array

I have this one schema

{
  _id: "123456",
  id: "123",
  inventory: [
    {
      id: "foo",
      count: 0
    },
    {
      id: "bar",
      count: 3
    }
  ]
}

I wanted every “count” keys in the inventory array to be “price” which will look like this at the end:

{
  _id: "123456",
  id: "123",
  inventory: [
    {
      id: "foo",
      price: 0
    },
    {
      id: "bar",
      price: 3
    }
  ]
}

And I’ve tried this

Model.updateOne({ id: "123" }, { $unset: { inventory: [{ count: 1 }] } } )

But it seems to be deleting the “inventory” field itself