Use DeleteDBCluster with an AWS SDK

    /**
     * Deletes a DB instance asynchronously.
     *
     * @param clusterId the identifier of the cluster to delete
     * @return a {@link CompletableFuture} that completes when the cluster has been deleted
     */
    public CompletableFuture<Void> deleteDBClusterAsync(String clusterId) {
        DeleteDbClusterRequest request = DeleteDbClusterRequest.builder()
                .dbClusterIdentifier(clusterId)
                .skipFinalSnapshot(true)
                .build();

        return getAsyncClient().deleteDBCluster(request)
                .thenAccept(response -> System.out.println("🗑️ Deleting DB Cluster: " + clusterId));
    }

def delete_db_cluster(neptune_client, cluster_id: str):
    """
    Deletes a Neptune DB cluster and throws exceptions to the caller.

    Args:
        neptune_client (boto3.client): The Neptune client object.
        cluster_id (str): The ID of the Neptune DB cluster to be deleted.

    Raises:
        ClientError: If the delete operation fails.
    """
    request = {
        'DBClusterIdentifier': cluster_id,
        'SkipFinalSnapshot': True
    }

    try:
        print(f"Deleting DB Cluster: {cluster_id}")
        neptune_client.delete_db_cluster(**request)

    except ClientError as err:
        code = err.response["Error"]["Code"]
        message = err.response["Error"]["Message"]

        if code == "DBClusterNotFoundFault":
            print(f"Cluster '{cluster_id}' not found or already deleted.")
        elif code == "AccessDeniedException":
            print("Access denied. Please ensure you have the necessary permissions.")
        else:
            print(f"Couldn't delete DB cluster. {code}: {message}")
        raise