I group Slack and a bunch of Teams windows - all desktop software (i.e. no web apps).

When there's a Teams notification, that notification gets flashed on every Windows virtual desktop, and the set of grouped Windows gets moved to the active virtual window - i.e. I may place grouped windows on desktop no 2, and work with other apps in desktop no 3, then when I notification occurs, the group gets moved to desktop no 3. And sometimes the grouping breaks as well.

Any idea if I somehow can configure things differently to get a more robust way of working with Groupy?

TidyTabs did not seem to suffer from the same "breakout" of Teams - but that app lacks many other features that make Groupy great.