There are priorities in settings from top to bottom, e.g. I’m an admin(group set 1) and I’m also part of group A(group set 2), I got ONLY toolbar for admin.
Basically, it checks in order for whether a user belongs to group set 1 or 2, if not, check if they are excluded from the excluded group. Non-logged-in user doesn’t have group settings so they are checked separately.
My admin toolbar
Non-logged-in users toolbar
User in group A toolbar
User not in group B toolbar
*the icon color and suffix text αre not included in this component, I add extra css.