### 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_
{
                    "aws:cloudformation:logical-id": logical_resource_id,
                    "aws:cloudformation:stack-name": stack_name,
                    "aws:cloudformation:stack-id": stack_id,
                }
            )
            if isinstance(kwargs.get("policy"), dict):
                kwargs["policy"] = json.dumps(kwargs["policy"])
            result = client.create_rest_api(**kwargs)
            body = props.get("Body")
            s3_body_location = props.get("BodyS3Location")
            if body or s3_body_location:
                
                import_parameters = props.get("Parameters", {})
                import_parameters.setdefault("basepath", "ignore")
                if body:
                    body = json.dumps(body) if isinstance(body, dict) else body
                else:
                    get_obj_kwargs = {}
                    if version_id := s3_body_location.get("Version"):
                        get_obj_kwargs["VersionId"] = version_id
                    
                    s3_client = connect_to().s3
                    get_obj_req = s3_client.get_object(
                        Bucket=s3_body_location.get("Bucket"),
                        Key=s3_body_location.get("Key"),
                        **get_obj_kwargs,
                    )
                    if etag := s3_body_location.get("ETag"):
                        if etag != get_obj_req["ETag"]: