remove an entry from HashMap depending on the Enum type of the value

Question

I need to create a json from an Object. The Object contains a List member variable of type Name. Name is a class which contains an enum NameType. below are the class:

public final class Person { private final List<Name> names; }

public class Name {

    private final String first;

    private final String last;

    private final String middle;

    private final NameType type;
}
public enum NameType {
    X,
    Y,
    Z
}

The json that is produced for class Person should not include Name for which NameType is Y and Z. Below is the simple way in which I try to generate the json:

 Map<String, Object> personMap = mapper.readValue(person!=null ? mapper.writeValueAsString(person) : "{}", typeReference);

I need to remove the key "names" from personMap. I have searched a few ways to remove it before serialization, but that hasn't worked for me. I followed this tutorial: https://www.baeldung.com/jackson-ignore-properties-on-serialization and tried to remove it using type and using filter, but because this is an enum so didn't work for me. So, I have 2 questions:

1. Is there a way to not include the Name property as part of serialization based on NameType.
2. If there is any way to remove after serialization is done. Below is the structure that is generated for the map.

Thanks in Advance!!