### 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_
import json
from urllib.parse import urlparse
from localstack.aws.connect import connect_to
from localstack.services.cloudformation.deployment_utils import (
    generate_default_name,
    lambda_keys_to_lower,
    params_list_to_dict,
)
from localstack.services.cloudformation.service_models import GenericBaseModel
from localstack.utils.aws import queries
from localstack.utils.common import keys_to_lower, select_attributes, to_bytes
from localstack.utils.strings import first_char_to_lower
class GatewayResponse(GenericBaseModel):
    @staticmethod
    def cloudformation_type():
        return "AWS::ApiGateway::GatewayResponse"
    def fetch_state(self, stack_name, resources):
        props = self.props
        api_id = props.get("RestApiId")
        if not api_id:
            return
        client = connect_to().apigateway
        result = client.get_gateway_response(restApiId=api_id, responseType=props["ResponseType"])
        return result if "responseType" in result else None
    @staticmethod
    def get_deploy_templates():