Remove Time Management Icon from My Client Groups but leave Quick Actions in Redwood

Summary:

We are moving OTL to Redwood and the rest will be in the responsive UX. For one of our custom roles, they only have access to My Client Groups because they have Time Management access. The Time Management icon is still showing in the Classic UI so we wanted to disable this icon from showing in My Client Groups. All other applicable roles can still see the Time Quick Actions in My Client Groups, however one of our roles loses Time Quick Actions completely. How do we disable this icon but allow some roles to still