How to search documents with "empty" nested array using SQL

Our custom application builds Elasticsearch SQL dynamically based on the criteria provided in the request. The document has a few nested arrays. e.g. "Person" may have an array of nested "addresses". I could build a SQL to find documents based on "city," which is an attribute within "address." e.g., "select * from person where addresses.city = 'New York' ". However, I want to find all documents with no address. Basically, empty "address" array. The document looks like -
{
"firstname": null,
"lastname": null,
"addresses": [
{
"addrssline1": null,
"addressline2": null,
"city": null
},
{
"addrssline1": null,
"addressline2": null,
"city": null
}
]
}

You could try something like:

GET /person/_search
{
  "query": {
    "bool": {
      "must_not": {
        "nested": {
          "path": "addresses",
          "query": {
            "exists": {
              "field": "addresses"
            }
          }
        }
      }
    }
  }
}

In this setup, the must_not combined with nested and exists queries will help find documents where the addresses nested field is empty.

Thank you, Alex, for taking the time to respond to my question. If I cannot find an elastic SQL solution, I might have to use the Elastic DSL-based solution you provided above. Since my application builds and executes Elastic SQL, I do not know how to combine SQL and DSL in SQL queries. I was looking for something like "select * from my-index where addresses.length = 0" or something like "select * from my-index where size(addresses) = 0"