It would be handy to be able to save the current group after adding more tabs.
For instance, I set up a Groupy with 4 tabs and saved it with with a name. I then added a couple more tabs. I would like to save this with the same name.
A Save Group As option would allow me to save it with a new name.
In other words, a flow similar to editors where you have a save and save as.
Perhaps display the name of the Groupy on the title bar, o the right of the three dots ?
