Spring Data JPA: How to load balance read queries between RDS Aurora PostgreSQL instances?

I have created an Aurora PostgreSQL cluster in AWS:

+ mydb (Role: Regional), (Engine: Aurora PostgreSQL), (Region and AZ: ap-southeast-2)
|
+- foo (Role: Writer),   (Engine: Aurora PostgreSQL), (Region and AZ: ap-southeast-2a), Multi-AZ (2 Zones)
|
+- bar (Role: Reader),   (Engine: Aurora PostgreSQL), (Region and AZ: ap-southeast-2b), Multi-AZ (2 Zones)

There's an endpoint for the Writer instance and an endpoint for the Reader instance:

| Endpoint name                                         | Type   |
|-------------------------------------------------------|--------|
| mydb.cluster-1234.ap-southeast-2.rds.amazonaws.com    | Writer |
| mydb.cluster-ro-1234.ap-southeast-2.rds.amazonaws.com | Reader |

In my app, I have defined a data source as usual:

spring:
  datasource:
    url: jdbc:postgresql://mydb.cluster-1234.ap-southeast-2.rds.amazonaws.com:5432/someDb?currentSchema=someSchema
    username: someUser
    password: somePass

Again, there are some ordinary entities and repositories defined in the code:

public interface ThingRepository extends JpaRepository<Thing, Long> {
}

@Entity
public class Thing {

    @Id
    @GeneratedValue(strategy = GenerationType.IDENTITY)
    private Long id;

    @Basic
    private String name;

    // etc.
}

Similarly, there are some ordinary READ/WRITE operations:

public void doSomething() {
    Thing thing = thingRepository.findById(123L);
    // ...
}

public void doSomethingElse() {
    Thing thing = new Thing();
    thingRepository.save(thing);
    // ...
}

The problem is all these queries are being sent to Aurora's Writer instance and my Reader instance remains unused.

But I want method calls such as findById, existsById, findAll, etc. to be load balanced between all the instances in my cluster and only operations such as save, saveAll, deleteById, deleteAll to be sent to the Writer instance.

Is there a way to do this?