however
In Italian, 'comunque' is used as a conjunction to denote contrast or exception. It can typically be used at the beginning or middle of a sentence, much like 'however' in English. For example, you might say 'Era difficile, comunque, ho finito,' which means, 'It was hard, however, I finished.'
Anyway, I have decided to leave tomorrow
In this sentence, 'comunque' is used to change the subject or to introduce a new idea that contrasts with the previous one. It can be translated as 'anyway' in English.
It's not a problem, anyway
Here 'comunque' is used to downplay the importance of something, similarly to the English word 'anyway'. It provides a feeling that even with the current situation, it does not create a problem.
No matter what happens (literally: 'anyway it goes, it doesn't matter')
This is a more complex use of 'comunque', where it combines with other words to create an idiom meaning 'no matter what happens'. It can be translated as 'anyway it goes, it doesn't matter'.