Bidirectional task / appointment sync? How?

[Uncle-Chicken]

Hello,
currently i only got it to work, to sync tasks / appointments from the google calendar to super-productivity (linux).
When i finish those tasks (mark them as done) they still appear on google calendar though. (not good)
How do i push tasks / appointments from super-productivity to the google calendar? Is that even possible?

I would really like to create my tasks within super-productivity and sync them to all devices. As it is now i would have to use a secondary app on each os to create the dates. (which is quite awkward)

I expect it to be a solution to this but it feels like i cant find the solution on my own.

Thank you and greetings