I am also working on Monday to Google Sheets integration. I was using Integromat to do this which actually did all 3 functions (Add rows, delete rows, update rows). However the delete row functionality uses a lot of operations so I was not able to use the free tier usage for this. If you don’t mind paying $50-$100 a month then Integromat may be the way to go.
However since my company is small and I am a junior developer I decided to go the route of using the API. I’m currently writing out the add/delete/update functionalities with Google App Script. If I can’t get the update to work though I might just delete and then rewrite the table every time.