### 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_
def _api_id(properties: dict, logical_resource_id: str, resource: dict, stack_name: str):
            return resource["PhysicalResourceId"]
        def _create(logical_resource_id: str, resource: dict, stack_name: str):
            client = connect_to().apigateway
            props = resource["Properties"]
            kwargs = select_attributes(
                props,
                [
                    "Name",
                    "Description",
                    "Version",
                    "CloneFrom",
                    "BinaryMediaTypes",
                    "MinimumCompressionSize",
                    "ApiKeySource",
                    "EndpointConfiguration",
                    "Policy",
                    "Tags",
                    "DisableExecuteApiEndpoint",
                ],
            )
            kwargs = keys_to_lower(kwargs, skip_children_of=["policy"])
            kwargs["tags"] = {tag["key"]: tag["value"] for tag in kwargs.get("tags", [])}
            cfn_client = connect_to().cloudformation
            stack_id = cfn_client.describe_stacks(StackName=stack_name)["Stacks"][0]["StackId"]
            kwargs["tags"].update(