Modify response in ContainerResponseFilter

I want to have a common structure for JAX-RS resource responses. For example, suppose you have a PersonsResource, and a GET method like this:

@GET @Path("/{id}")
public Person get(@PathParam("id") String id) {
    return new Person(id); //
}

Suppose the response on the client side is a json like this: {"id":"some-id"}.

Now, what I want to achieve is to have a ContainerResponseFilter. It will modify the response so that it will wrap the original entity with a structure like this:

{  
   "meta":{  
      "href":"http://this.is.request/url"
   },
   "paging":{  
      "offset":0,
      "limit":10
   },
   "entity":{  
      "id":"some-id"
   }
}

I experimented my idea with code like below (where I used Lombok to reduce boilerplate code):

@Data @NoArgsConstructor @AllArgsConstructor
@XmlAccessorType(XmlAccessType.FIELD) @XmlType
public class Person {
    private String id;
}

@XmlAccessorType(XmlAccessType.FIELD) @XmlRootElement
@Data @NoArgsConstructor @AllArgsConstructor
public class WrappedResponse {
    private Object entity;
}

@Provider @Slf4j
public class WrappedResponseFilter implements ContainerResponseFilter {
    @Override
    public void filter(ContainerRequestContext requestContext, ContainerResponseContext responseContext) throws IOException {
        responseContext.setEntity(new WrappedResponse(responseContext.getEntity()));
    }
}

However, when I call the endpoint using curl, what I get is like this: {"entity":"Person(id=xyz)"}. Apparently, the corresponding MessageBodyWriter simply used the toString() method for the entity field in WrappedResponse. So, how can I make entity also serialized as json as defined by its JAXB annotations? Namely, for the example above, how can I make the response like {"entity":{"id":"xyz"}}?

BTW, I used the following dependencies:

'javax.servlet:javax.servlet-api:3.1.0'
'org.slf4j:slf4j-api:1.7.25'
'org.projectlombok:lombok:1.16.18'
'javax.ws.rs:javax.ws.rs-api:2.1'
'javax.xml.bind:jaxb-api:2.3.0'
'org.eclipse.persistence:org.eclipse.persistence.moxy:2.7.0'
'org.glassfish.jersey.containers:jersey-container-servlet:2.26'
'org.glassfish.jersey.ext:jersey-spring4:2.26'
'org.glassfish.jersey.core:jersey-server:2.26'
'org.glassfish.jersey.media:jersey-media-moxy:2.26'

I deployed my experiment code as a web app into Jetty on my Mac.