From Taipei to Sun Moon Lake and Alishan, what should I do in the three-day plan, and what kind of transportation should I use? Ask for advice.

D1 Take the high-speed rail from Taipei to Taichung High-speed Rail Station, take the Taiwan Sun Moon Lake Line to Sun Moon Lake (there is a bus in half an hour to 40 minutes), stay overnight at Sun Moon Lake<br/>D2 go back to Taichung "Taiwan Railway" station, take the Taiwan Railway to Chiayi, take the Taiwan Express Alishan Line B from Taiwan Railway Chiayi Station (10 trains a day) to Alishan<br/>D3 Alishan to see the sunrise, the sea of ​​clouds, take the Taiwan Express Alishan Line A/to Chiayi "High Speed ​​Rail" "Stations at various places (four shifts a day), and then take the high-speed train back to Taipei