Badgeify is a new application designed to enhance the customization of the Mac menu bar by allowing users to add any app easily. This offers a solution to the common issue of limited screen space, especially for users with MacBook models featuring a notch. The recent discussion in the comments revolves around users expressing their challenges with existing applications and seeking ways to better manage the clutter in their menu bar. Users have mentioned alternatives like Bartender for organizing their menu bar items but are looking for more ways to streamline their app visibility without unnecessary clutter.