Read data from latest index generated by ILM policy rollover

Question

I have both Elasticsearch and Logstash in version 7.9.1-1 installed. Here's the policy I've created:

PUT _ilm/policy/test-policy

{
  "policy": {
    "phases": {
      "hot": {
        "actions": {
          "rollover": {
            "max_age": "2d"
          }
        }
      }
    }
  }
}

And its corresponding template:

PUT _template/test-template

{
  "index_patterns": ["test-*"],
  "settings": {
    "number_of_shards": 1,
    "number_of_replicas": 1,
    "index.lifecycle.name": "test-policy",
    "index.lifecycle.rollover_alias": "test-read_n_write"
  }
}

And, finally, the initial alias:

PUT test-000001

{
  "aliases": {
    "test-read_n_write":{
      "is_write_index": true
    }
  }
}

After the first rollover, I'd like to have the alias point to the newly generated index (i.e. test-000002) only for both read and write operations - instead of just writing to the most recent one and searching multiple indices with the test-read_n_write alias.

Am I able to do that with automatic rollover?