Mongo query assistance update array element with field from object

Hey sorry about that. the data is from some production env that I have and cant share all the fields.

From

{
  "number": "CC850732",
  "products": [
    {
      "product": {
        "plan_group": "Old",
        "price": 1999,
        "type": "plan"
      }
    },
    {
      "product": {
        "price": 1999,
        "type": "other"
      }
    },
    {
      "product": {
        "plan_group": "New",
        "price": 1999,
        "type": "plan"
      }
    }
  ],
  "_id": {
    "$oid": "61ac78f025a3421dbfff8496"
  }
}

To

{
    "number": "CC850732",
    "products": [{
        "product": {
            "plan_group": ["Old"],
            "price": 1999,
            "type": "plan"
        }
    }, {
        "product": {
            "price": 1999,
            "type": "other"
        }
    }, {
        "product": {
            "plan_group": ["New"],
            "price": 1999,
            "type": "plan"
        }
    }],
    "_id": {
        "$oid": "61ac78f025a3421dbfff8496"
    }
}

The query that I wrote doesn’t update any document.