I did go to DinTaiFung at Taipei 101. The place was busy but very efficient. We were seated in less than 30m but we were only a party of 2. It was my first time and I enjoyed it very much. We ordered way too much.
We were in Beitou but we were at the Grand View Resort for the hot springs. We did eat a few local places near the Beitou MRT station. Good food again.
I had mango ice but not at Ice Monster. It was just a random place near my hotel in Taipei. It was delicious.
We also went to Danshui and walked around. It was nice until a big storm rolled in.
Overall, I had a very positive experience in Taipei. Good food, friendly people.
I just couldn't do constant hot and cold. Outside I was dying from the heat and humidity but then inside, the AC was on so high that I was freezing. I came back Saturday and is now trying to recover from a cold .