Advice TPE Lounge Access Advice for Family Travel

Hello! I'm traveling with my wife and two children from SEA to TPE (arriving around 4AM), then on to DPS (departing around 9AM). My wife and I are in paid business class, but the children are not. I'm also Star Alliance Gold. It looks like there's no straightforward way to get lounge access for the kids. Does anyone have experience or tips on how to manage lounge access for a family in this situation at TPE? Any advice on lounges that might be more accommodating or strategies to make the layover smoother for the kids would be greatly appreciated.