### 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_
"""Simple duplex socket wrapper that allows serving HTTP/HTTPS over the same port."""
    def accept(self):
        newsock, addr = socket.socket.accept(self)
        if DuplexSocket.is_ssl_socket(newsock) is not False:
            newsock = self.context.wrap_socket(
                newsock,
                do_handshake_on_connect=self.do_handshake_on_connect,
                suppress_ragged_eofs=self.suppress_ragged_eofs,
                server_side=True,
            )
        return newsock, addr
    @staticmethod
    def is_ssl_socket(newsock):