### Is there an existing issue for this?

- [X] I have searched the existing issues

### Current Behavior

1. Create kinesis stream with `awslocal kinesis create-stream`
2. Create two firehose delivery stream with `awslocal firehose create-delivery-stream`, both of which have `--kinesis-stream-source-configuration` to the stream created above
3. Put record to the stream
4. Only one of the delivery stream receives the message

### Expected Behavior

At the 4th step, both of the delivery stream should receive the message.
(which was true in real AWS environment.)

### How are you starting LocalStack?

With a `docker run` command

### Steps To Reproduce

#### How are you starting localstack (e.g., `bin/localstack` command, arguments, or `docker-compose.yml`)

    docker run localstack/localstack:2.3.2

#### Client commands (e.g., AWS SDK code snippet, or sequence of "awslocal" commands)

    docker exec -it admiring_chatelet bash
    (in the localstack container)
    awslocal opensearch create-domain --domain-name my-domain
    awslocal kinesis create-stream --stream-name samplestream --shard-count 2 --region dummy
    awslocal firehose create-delivery-stream --delivery-stream-name s1 --delivery-stream-type KinesisStreamAsSource --kinesis-stream-source-configuration "KinesisStreamARN=arn:aws:kinesis:us-east-1:000000000000:stream/samplestream,RoleARN=arn:aws:kinesis:us-east-1:000000000000:role/stream-role" --amazonopensearchservice-destination-configuration "ClusterEndpoint=http://my-domain.us-east-1.opensearch.localhost.localstack.cloud:4566,IndexName=index1,TypeName=_doc,RoleARN=arn:aws:kinesis:us-east-1:000000000000:role/es-role,S3Configuration={RoleARN=arn:aws:iam::000000000000:role/Firehose-Reader-Role,BucketARN=arn:aws:s3:::kinesis-activity-backup-local}"
    awslocal firehose create-delivery-stream --delivery-stream-name s2 --delivery-stream-type KinesisStreamAsSource --kinesis-stream-source-configuration "KinesisStreamARN=arn:aws:kinesis:us-east-1:000000000000:stream/samplestream,RoleARN=arn:aws:kinesis:us-east-1:000000000000:role/stream-role" --amazonopensearchservice-destination-configuration "ClusterEndpoint=http://my-domain.us-east-1.opensearch.localhost.localstack.cloud:4566,IndexName=index2,TypeName=_doc,RoleARN=arn:aws:kinesis:us-east-1:000000000000:role/es-role,S3Configuration={RoleARN=arn:aws:iam::000000000000:role/Firehose-Reader-Role,BucketARN=arn:aws:s3:::kinesis-activity-backup-local}"
    awslocal kinesis put-record --stream-name samplestream --data '{"test":"value"}' --partition-key 1
    curl http://my-domain.us-east-1.opensearch.localhost.localstack.cloud:4566/index1/_search
    curl http://my-domain.us-east-1.opensearch.localhost.localstack.cloud:4566/index2/_search

by the last two `curl`s, only one of the results shows the given data.

### Environment

```markdown
- OS: MacOS 13.2.1
- LocalStack: 2.3.2
```


### Anything else?

_No response_
destination_description = stream_description["Destinations"][0][
        "HttpEndpointDestinationDescription"
    ]
    assert destination_description["EndpointConfiguration"]["Name"] == "test_update"
    
    stream = firehose.delete_delivery_stream(DeliveryStreamName=stream_name)
    assert stream["ResponseMetadata"]["HTTPStatusCode"] == 200
class TestFirehoseIntegration:
    @markers.skip_offline
    @markers.aws.unknown
    def test_kinesis_firehose_elasticsearch_s3_backup(
        self, s3_bucket, kinesis_create_stream, cleanups, aws_client
    ):
        domain_name = f"test-domain-{short_uid()}"
        stream_name = f"test-stream-{short_uid()}"
        role_arn = f"arn:aws:iam::{TEST_AWS_ACCOUNT_ID}:role/Firehose-Role"
        delivery_stream_name = f"test-delivery-stream-{short_uid()}"
        es_create_response = aws_client.es.create_elasticsearch_domain(DomainName=domain_name)
        cleanups.append(lambda: aws_client.es.delete_elasticsearch_domain(DomainName=domain_name))
        es_url = f"http://{es_create_response['DomainStatus']['Endpoint']}"
        es_arn = es_create_response["DomainStatus"]["ARN"]
        
        bucket_arn = arns.s3_bucket_arn(s3_bucket)
        
        kinesis_create_stream(StreamName=stream_name, ShardCount=2)
        stream_info = aws_client.kinesis.describe_stream(StreamName=stream_name)
        stream_arn = stream_info["StreamDescription"]["StreamARN"]
        kinesis_stream_source_def = {
            "KinesisStreamARN": stream_arn,
            "RoleARN": role_arn,