config: Reset per-game profile name on load if empty

src/yuzu/configuration/qt_config.cpp

@@ -90,6 +90,7 @@ void QtConfig::ReadQtPlayerValues(const std::size_t player_index) {
         if (profile_name.empty()) {
             // Use the global input config
             player = Settings::values.players.GetValue(true)[player_index];
+            player.profile_name = "";
             return;
         }
     }