### Is there an existing issue for this?

- [X] I have searched the existing issues

### Current Behavior

APiGateway Model that being created by CDK project stores the JSON schema with a single quotes instead of double quotes which leading to an error in parsing this json object. 

you can refere to this article to see the steps 

https://dev.to/dvddpl/reduce-lambda-invocations-and-code-boilerplate-by-adding-a-json-schema-validator-to-your-api-gateway-15af

and it works fine on AWS account 

also you can look on the attached image how localstack stores the JSON object with a single quotes, I tried to edit it manually through UI but it return it back with single quotes

![Screen Shot 2022-10-18 at 4 28 08 PM](https://user-images.githubusercontent.com/106184681/196769273-0834865a-2fb3-4efc-b3a9-9da6b2ad511d.png)

### Expected Behavior

store the json schema in correct JSON format

### How are you starting LocalStack?

With the `localstack` script

### Steps To Reproduce

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

    localstack start

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

    cdklocal deploy


### Environment

```markdown
- OS:OSX
- LocalStack: 1.0.4
```


### Anything else?

_No response_
return {
            "create": {
                "function": "put_gateway_response",
                "parameters": {
                    "restApiId": "RestApiId",
                    "responseType": "ResponseType",
                    "statusCode": "StatusCode",
                    "responseParameters": "ResponseParameters",
                    "responseTemplates": "ResponseTemplates",
                },
            }
        }
class GatewayRequestValidator(GenericBaseModel):
    @staticmethod
    def cloudformation_type():
        return "AWS::ApiGateway::RequestValidator"
    def fetch_state(self, stack_name, resources):
        client = connect_to().apigateway
        props = self.props
        api_id = props["RestApiId"]
        name = props["Name"]
        result = client.get_request_validators(restApiId=api_id).get("items", [])
        result = [r for r in result if r.get("name") == name]
        return result[0] if result else None
    @staticmethod
    def add_defaults(resource, stack_name: str):