You have a user whose profile has "Manage External Users" and/or "Manage Customer Users" enabled in their profile but is not using the standard System Administrator profile. When the user tries to create a new Experience Cloud Site user, they are unable to select a profile for the new user as there are no options available for it.
The user needs to have permissions to assign profiles to other users. To grant this permission without giving the user full System Administrator access, add them to a Delegated Administration group and configure the group's Assignable Profiles to include the relevant Experience Cloud Site user profiles. Follow the steps below to set this up.
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