[BUG] Field exists query broken for GeoShape fields after upgrade (from 2.8.0 to 2.11.1)

[Pierre-Hugues]

Describe the bug

"Field exists" query does not work properly on fields GeoShape for existing indexes after the upgrade from 2.8.0 version to 2.11.1
I suspect it is related to #10958 somehow

Related component

Search:Query Capabilities

To Reproduce

1. Start an OpenSearch server in version 2.8.0
2. Create an index with a geo_shape field

PUT old_index
{
    "mappings": {
        "properties": {
            "name": { "type": "text" },
            "my_geometry": { "type": "geo_shape" }
        }
    }
}

3. Add some documents to it

POST old_index/_doc/1
{
  "name" : "Without geometry"
}

POST old_index/_doc/2
{
  "name" : "With geometry",
  "my_geometry":  {
    "type": "Point",
    "coordinates": [1,1]
  }
}

4. Check that the "Field exists" filter works on this version

GET old_index/_search
{
  "query": {
      "bool": { "must_not": { "exists": { "field": "my_geometry" }}}
  }
}

5. Upgrade the OpenSearch server to version 2.11.1

6. Do the same search as before

GET old_index/_search
{
  "query": {
      "bool": { "must_not": { "exists": { "field": "my_geometry" }}}
  }
}

Expected behavior

The current result is the following failure :

FieldExistsQuery requires that the field indexes doc values, norms or vectors, but field 'my_geometry' exists and indexes neither of these data structures

The expected result is that the filter works properly and only returns the following document :

{
  "name" : "Without geometry"
}

If we re-create a fresh new index on this 2.11.1 version following the same steps as before, then the filter works fine.

Additional Details

Host/Environment :
Initially had the issue with :

• Index initially created on version 1.3.5
• OpenSearch version before upgrade 2.8.0
• OpenSearch version after upgrade 2.11.1
  => result: I did not have any error message with this setup, but the responses were wrong, and the filter was not applying (ignored?)

Reproduced locally (dockerized) with :

• Index Initially created on version 2.8.0
• OpenSearch version before upgrade 2.8.0
• OpenSearch version after upgrade 2.11.1
  => result: a 500 error, with the message above

[dblock]

If you have time, try to turn this into a (failing) YAML test?