### 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 self._url.geturl()
    def do_run(self):
        self.endpoint.register()
        try:
            self._shutdown_event.wait()
        finally:
            self.endpoint.unregister()
    def do_shutdown(self):
        self._shutdown_event.set()
        self.endpoint.unregister()
async def _accept_connection2(self, protocol_factory, conn, extra, sslcontext, *args, **kwargs):
    is_ssl_socket = await run_sync(DuplexSocket.is_ssl_socket, conn)
    if is_ssl_socket is False:
        sslcontext = None
    result = await _accept_connection2_orig(
        self, protocol_factory, conn, extra, sslcontext, *args, **kwargs
    )
    return result
if hasattr(BaseSelectorEventLoop, "_accept_connection2") and not hasattr(
    BaseSelectorEventLoop, "_ls_patched"
):
    _accept_connection2_orig = BaseSelectorEventLoop._accept_connection2
    BaseSelectorEventLoop._accept_connection2 = _accept_connection2
    BaseSelectorEventLoop._ls_patched = True
def get_cert_pem_file_path():