### Is there an existing issue for this?

- [X] I have searched the existing issues

### Current Behavior

Here are the kinesis events from inserting/deleting a dynamodb item:

```
{"eventID":"cf1199b0","eventVersion":"1.1","dynamodb":{"ApproximateCreationDateTime":1.635284406858227E9,"SizeBytes":56,"Keys":{"hash":{"S":"hash-691"},"range":{"S":"range-153"}},"NewImage":{"hash":{"S":"hash-691"},"range":{"S":"range-153"}}},"awsRegion":"us-east-1","eventSource":"aws:dynamodb","eventName":"INSERT","tableName":"bug"}

{"eventID":"976b515b","eventVersion":"1.1","dynamodb":{"ApproximateCreationDateTime":1.6352844070969691E9,"SizeBytes":4,"Keys":{"hash":{"S":"hash-691"},"range":{"S":"range-153"}},"OldImage":null},"awsRegion":"us-east-1","eventSource":"aws:dynamodb","eventName":"REMOVE","tableName":"bug"}
```

Note that the remove event has `OldImage` = `null`

### Expected Behavior

I expected `OldImage` to be `{"hash":{"S":"hash-691"},"range":{"S":"range-153"}}`.

### How are you starting LocalStack?

With a docker-compose file

### Steps To Reproduce

https://github.com/achaphiv/issue-localstack-dynamodb-stream-to-kinesis

```
# Create table/stream and hook them up
docker-compose up -d

# Create/delete an item
./mvnw -P write-to-dynamodb

# See the produced records
./mvnw -P watch-kinesis
```

### Environment

```markdown
- OS: Manjaro Linux
- LocalStack: 0.12.19
```


### Anything else?

_No response_
dynamodbstreams_api.forward_events(records)
def forward_to_kinesis_stream(records):
    kinesis = aws_stack.connect_to_service("kinesis")
    table_definitions = DynamoDBRegion.get().table_definitions
    for record in records:
        if record.get("eventSourceARN"):
            table_name = record["eventSourceARN"].split("/", 1)[-1]
            table_def = table_definitions.get(table_name) or {}
            if table_def.get("KinesisDataStreamDestinationStatus") == "ACTIVE":
                stream_name = table_def["KinesisDataStreamDestinations"][-1]["StreamArn"].split(
                    "/", 1
                )[-1]
                record["tableName"] = table_name
                record.pop("eventSourceARN", None)
                record["dynamodb"].pop("StreamViewType", None)
                partition_key = list(
                    filter(lambda key: key["KeyType"] == "HASH", table_def["KeySchema"])
                )[0]["AttributeName"]
                kinesis.put_record(
                    StreamName=stream_name,
                    Data=json.dumps(record),
                    PartitionKey=partition_key,
                )
def dynamodb_extract_keys(item, table_name):