I am attemping to insert a Queue into a Case Team (after insert) via apex. I have the logice to successfully insert a new Case Team Member, but continue to hit errors when attemting to swap the memberid for a Queue value.

My working member (user) code is as follows:

trigger CaseTeamMember_Owner_Insert on Case (after insert) {

    CaseTeamRole role = [select Name from CaseTeamRole where Name = 'Support Team' LIMIT 1];
    Map<Id, CaseTeamMember> membersToAdd = new Map<Id, CaseTeamMember>();
    List<Case> cases = [Select Id,OwnerId,ContactId,RecordTypeId,RecordType.Name
                  from Case where id IN :Trigger.newMap.keySet()];
    for (Case c : cases) {
    
      if (c.RecordType.Name == 'Support Case') {
           
        membersToAdd.put(c.Id, 
          new CaseTeamMember(                   
            TeamRoleId = role.Id,
            ParentId = c.Id,                        
            MemberId = c.OwnerId
          )
        );
        if (!membersToAdd.isEmpty()) {
          insert membersToAdd.values();
        }        
      }
    } 
}

My non-working member (queue) code is as follows:

trigger CaseTeamMember_Owner_Insert on Case (after insert) {

    CaseTeamRole role = [select Name from CaseTeamRole where Name = 'Support Team' LIMIT 1];
    Group g = [select Name from Group where Type = 'Queue' AND Name = 'Support Unassigned' LIMIT 1];
    Map<Id, CaseTeamMember> membersToAdd = new Map<Id, CaseTeamMember>();
    List<Case> cases = [Select Id,OwnerId,ContactId,RecordTypeId,RecordType.Name
                  from Case where id IN :Trigger.newMap.keySet()];
    for (Case c : cases) {
    
      if (c.RecordType.Name == 'Support Case') {
           
        membersToAdd.put(c.Id, 
          new CaseTeamMember(                   
            TeamRoleId = role.Id,
            ParentId = c.Id,                        
            MemberId = g.Id
          )
        );
        if (!membersToAdd.isEmpty()) {
          insert membersToAdd.values();
        }        
      }
    } 
}

The error that I am receiving when creating a new case with the member (queue) code in place:
 

Error: Invalid Data. 
Review all error messages below to correct your data.
Apex trigger CaseTeamMember_Owner_Insert caused an unexpected exception, contact your administrator: CaseTeamMember_Owner_Insert: execution of AfterInsert caused by: System.DmlException: Insert failed. First exception on row 0; first error: FIELD_INTEGRITY_EXCEPTION, Member ID: id value of incorrect type: 00G19000000ZNltEAG: [MemberId]: ()

Any thoughts?