### 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_
if request.get("description") == "":
            raise BadRequestException("Description cannot be an empty string")
        minimum_compression_size = request.get("minimumCompressionSize")
        if minimum_compression_size is not None and (
            minimum_compression_size < 0 or minimum_compression_size > 10485760
        ):
            raise BadRequestException(
                "Invalid minimum compression size, must be between 0 and 10485760"
            )
        result = call_moto(context)
        rest_api = get_moto_rest_api(context, rest_api_id=result["id"])
        rest_api.version = request.get("version")
        response: RestApi = rest_api.to_dict()
        remove_empty_attributes_from_rest_api(response)
        store = get_apigateway_store(account_id=context.account_id, region=context.region)
        rest_api_container = RestApiContainer(rest_api=response)
        store.rest_apis[result["id"]] = rest_api_container
        
        rest_api_container.models[EMPTY_MODEL] = DEFAULT_EMPTY_MODEL
        rest_api_container.models[ERROR_MODEL] = DEFAULT_ERROR_MODEL
        return response
    def get_rest_api(self, context: RequestContext, rest_api_id: String) -> RestApi: