### Preflight Checklist

* [x] I have read the [Contributing Guidelines](https://github.com/electron/electron/blob/master/CONTRIBUTING.md) for this project.
* [x] I agree to follow the [Code of Conduct](https://github.com/electron/electron/blob/master/CODE_OF_CONDUCT.md) that this project adheres to.
* [x] I have searched the issue tracker for an issue that matches the one I want to file, without success.

### Issue Details

* **Electron Version:**
* 9.0.0, 9.2.0, 9.2.1 0 All broken

* **Operating System:**
  * Windows 10 (1809)
* **Last Known Working Electron version:**
  * 8.5.0

### Expected Behavior
When requesting url's and having a socket connect, when it is rejected with proxy authentication required, consistently try again with the proxy authentication credentials.

### Actual Behavior
See logs - good and bad.
In the good logs, electron always makes a 2nd socket request with the proxy authentication headers and succeeds. In the bad logs, electron does not make a 2nd socket request.
Note that for the first socket request on a web page, it works, but when a second socket is opened to make requests it seems to fail.

### To Reproduce
Be behind a NTLM proxy that requires authentication for a domain
Visit a website that makes multiple requests so that multiple sockets are opened.

shell/browser/net/proxying_url_loader_factory.cc
UpdateRequestInfo();
  if (target_loader_.is_bound()) {
    
    
    
    
    
    if (current_request_uses_header_client_) {
      target_loader_->FollowRedirect(removed_headers, modified_headers,
                                     modified_cors_exempt_headers, new_url);
    } else {
      auto params = std::make_unique<FollowRedirectParams>();
      params->removed_headers = removed_headers;
      params->modified_headers = modified_headers;
      params->modified_cors_exempt_headers = modified_cors_exempt_headers;
      params->new_url = new_url;
      pending_follow_redirect_params_ = std::move(params);
    }
  }
  RestartInternal();
}
void ProxyingURLLoaderFactory::InProgressRequest::SetPriority(
    net::RequestPriority priority,
    int32_t intra_priority_value) {
  if (target_loader_.is_bound())
    target_loader_->SetPriority(priority, intra_priority_value);
}
void ProxyingURLLoaderFactory::InProgressRequest::PauseReadingBodyFromNet() {