### 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_
table_name = table_name or put_item["TableName"]
    ddb_client = aws_stack.connect_to_service("dynamodb")
    search_key = {}
    if "Key" in put_item:
        search_key = put_item["Key"]
    else:
        schema = get_table_schema(table_name)
        schemas = [schema["Table"]["KeySchema"]]
        for index in schema["Table"].get("GlobalSecondaryIndexes", []):
            
            
            pass
        for schema in schemas:
            for key in schema:
                key_name = key["AttributeName"]
                search_key[key_name] = put_item["Item"][key_name]
        if not search_key:
            return
    req = {"TableName": table_name, "Key": search_key}
    existing_item = aws_stack.dynamodb_get_item_raw(req)
    if not existing_item:
        return existing_item
    if "Item" not in existing_item:
        if "message" in existing_item:
            table_names = ddb_client.list_tables()["TableNames"]
            msg = "Unable to get item from DynamoDB (existing tables: %s ...truncated if >100 tables): %s" % (
                table_names,