I have tried Cloze on a number of occasions and each time I have found it better than before. There are many things it doesn’t do, but what it does do is amazing.
What I have found great is that it works across all platforms, so I can use it on my Chromebook, my PC and as an app on my Android phone and tablet.
It doesn’t notify on received emails, you still need your regular email app for this, but the way it brings everything together is great.
You can have a two week free trial with all the features in place, it then reverts to a limited free version but is still amazingly useful. I would thoroughly recommend you give it a try.