UI: Fix YouTube not saving stream key in auto config

Commit 85f9a8661b did not take into account whether YouTube was using a
stream key or not, it would prevent the auto-configuration dialog from
being able to save a YouTube stream key if the user opted to enter in a
stream key instead of connecting their YouTube account.

This simply fixes that by checking to see whether or not the user fully
connected their account or not.

Fixes obsproject/obs-studio#6406

UI/window-basic-auto-config.cpp

@@ -1094,7 +1094,7 @@ void AutoConfig::SaveStreamSettings()
 		obs_data_set_string(settings, "service", serviceName.c_str());
 	obs_data_set_string(settings, "server", server.c_str());
 #ifdef YOUTUBE_ENABLED
-	if (!IsYouTubeService(serviceName))
+	if (!streamPage->auth || !IsYouTubeService(serviceName))
 		obs_data_set_string(settings, "key", key.c_str());
 #else
 	obs_data_set_string(settings, "key", key.c_str());