### Is there an existing issue for this?

- [X] I have searched the existing issues

### Current Behavior

Authorization headers being sent to API gateway are received on lambdas as "empty string"

### Expected Behavior

_No response_

### How are you starting LocalStack?

With a docker-compose file

### Steps To Reproduce

Run a API Gateway with lambda integration

### Environment

```markdown
- OS:
- LocalStack:
```


### Anything else?

_No response_
return make_error_response(msg, 400)
        if method == "POST":
            if uri.startswith("arn:aws:apigateway:") and ":sqs:path" in uri:
                template = integration["requestTemplates"][APPLICATION_JSON]
                account_id, queue = uri.split("/")[-2:]
                region_name = uri.split(":")[3]
                if "GetQueueUrl" in template or "CreateQueue" in template:
                    request_templates = RequestTemplates()
                    payload = request_templates.render(invocation_context)
                    new_request = f"{payload}&QueueName={queue}"
                else:
                    request_templates = RequestTemplates()
                    payload = request_templates.render(invocation_context)
                    queue_url = f"{config.get_edge_url()}/{account_id}/{queue}"
                    new_request = f"{payload}&QueueUrl={queue_url}"
                headers = aws_stack.mock_aws_request_headers(service="sqs", region_name=region_name)
                url = urljoin(config.service_url("sqs"), f"{get_aws_account_id()}/{queue}")
                result = common.make_http_request(
                    url, method="POST", headers=headers, data=new_request
                )
                return result
            elif uri.startswith("arn:aws:apigateway:") and ":sns:path" in uri:
                invocation_context.context = helpers.get_event_request_context(invocation_context)
                invocation_context.stage_variables = helpers.get_stage_variables(invocation_context)
                integration_response = SnsIntegration().invoke(invocation_context)
                return apply_request_response_templates(
                    integration_response, response_templates, content_type=APPLICATION_JSON
                )
        raise Exception(
            'API Gateway AWS integration action URI "%s", method "%s" not yet implemented'