Does using phonetic analyzer using .json file kills the effect of Fuzzy Search

I am using phonetic analyzer  .json file   

search-analyzer.json   

{
  "analysis": {
    "analyzer": {
      "my_analyzer": {
        "tokenizer": "standard",
        "filter": [
          "lowercase",
          "my_metaphone"

        ]
      }
    },
    "filter": {
      "my_metaphone": {
        "type": "phonetic",
        "encoder": "double_metaphone",
        "replace": false
      }
    }
  }
}

And using the below Entity class and the analyzer.





import com.fasterxml.jackson.annotation.JsonIgnoreProperties;
import com.fasterxml.jackson.annotation.JsonProperty;
import lombok.AllArgsConstructor;
import lombok.Data;
import lombok.EqualsAndHashCode;
import lombok.NoArgsConstructor;
import lombok.extern.slf4j.Slf4j;
import org.springframework.data.elasticsearch.annotations.Document;
import org.springframework.data.elasticsearch.annotations.Field;
import org.springframework.data.elasticsearch.annotations.FieldType;
import org.springframework.data.elasticsearch.annotations.Setting;
import javax.persistence.GeneratedValue;
import javax.persistence.GenerationType;

@AllArgsConstructor
@NoArgsConstructor
@Data
@Document(indexName = "ABC")
@Setting(settingPath = "analyzer/search-analyzer.json")
@JsonIgnoreProperties(ignoreUnknown = true)
@Slf4j
@EqualsAndHashCode
public class XYZ {


    @GeneratedValue(strategy = GenerationType.SEQUENCE)
    private Integer id;



    @Field(type = FieldType.Text,analyzer = "my_analyzer")
    private String firstName;

    @Field(type = FieldType.Keyword)
    private String middleName;

  
    @Field(type = FieldType.Text,analyzer = "my_analyzer")
    private String name;

 
}


In the BoolQueryBuilder   again using combination like the below


 if(IsNotEmptyOrNull(Search.getFirstName())){
            BoolQueryBuilder   boolQueryCombined = QueryBuilders.boolQuery();
            boolQueryCombined.should(QueryBuilders.matchQuery(FIRSTNAME, Search.getFirstName()).fuzziness(Fuzziness.AUTO));
            boolQueryCombined.should(QueryBuilders.wildcardQuery(FIRSTNAME, Search.getFirstName().toLowerCase().concat("*")));
            boolQueryCombined.minimumShouldMatch(1);
            boolQueryBuilder.must(boolQueryCombined);
        }

where Search is a object containing all search properties  like  firstName,name ...

Then Fuzzy Auto not working  only phonetic match happening.   phonetic is overriding the fuzziness?

Will be using EdgeNgram Analyzer instead of Wildcard Query later.