### 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 not rest_api.get("binaryMediaTypes"):
        rest_api.pop("binaryMediaTypes", None)
    if not isinstance(rest_api.get("minimumCompressionSize"), int):
        rest_api.pop("minimumCompressionSize", None)
    if not rest_api.get("tags"):
        if remove_tags:
            rest_api.pop("tags", None)
        else:
            
            rest_api["tags"] = {}
    if not rest_api.get("version"):
        rest_api.pop("version", None)
    if not rest_api.get("description"):
        rest_api.pop("description", None)
    return rest_api
def remove_empty_attributes_from_method(method: Method) -> Method:
    if not method.get("methodResponses"):
        method.pop("methodResponses", None)
    if method.get("requestModels") is None:
        method.pop("requestModels", None)
    if method.get("requestParameters") is None:
        method.pop("requestParameters", None)
    return method
def remove_empty_attributes_from_integration(integration: Integration):