I am new to salesforce can anyone help me with the trigger. I have tried it but not able to fulfill the requirement. Please help me any suggestions are appreciated. Requirement: A company wants to do collaboration using chatter group for project. Whenever Enable Collaboration checkbox is checked a respective chatter group should be created. Note: Only one chatter group should exist for a Project.

Trigger:

trigger ChatterGroupCreation on Project__c (after insert,after update) {
    
if(Trigger.isAfter && Trigger.isInsert){
    ChatterGroupCreationHandler.isProjectInsert(Trigger.new);
}
if(Trigger.isAfter && Trigger.isUpdate){
    ChatterGroupCreationHandler.isProjectUpdate(Trigger.new,Trigger.oldMap);
}

Handler:

public class ChatterGroupCreationHandler {
static set<Id> projecthavingchatter=new set<Id>();
public static void isProjectInsert(List<Project__c> listProject){
    System.debug('listProject'+listProject);
    List<CollaborationGroup> chattergroup=new List<CollaborationGroup>();
    for(Project__c proj:listProject){
        if(proj.Enable_Collaboration__c==true){
            CollaborationGroup myGroup = new CollaborationGroup();
            myGroup.Name=proj.Name+proj.Id;
            myGroup.CollaborationType='Public';                   
            chattergroup.add(myGroup);
            projecthavingchatter.add(proj.Id);
        }
    }
    System.debug('projecthavingchatter'+projecthavingchatter);
    System.debug('chatter'+chattergroup);
    insert chattergroup;
}


public static void isProjectUpdate(List<Project__c> listProject,Map<Id,Project__c>oldMapProject){
    System.debug('projecthavingchatter'+projecthavingchatter);
    List<CollaborationGroup> chattergroup=new List<CollaborationGroup>();
    for(Project__c proj:listProject){
        Project__c oldProj=oldMapProject.get(proj.Id);
        if(oldProj.Enable_Collaboration__c==false && proj.Enable_Collaboration__c==true && !projecthavingchatter.contains(proj.Id)){
            
            CollaborationGroup myGroup = new CollaborationGroup();
            myGroup.Name=proj.Name+proj.Id;
            myGroup.CollaborationType='Public';
            chattergroup.add(myGroup);
        }
    }
    system.debug('chatter update'+chattergroup);
    try{
        insert chattergroup;
    }
    catch(Exception e){
        
    }
}

}

The problem is if I have created 2-3 projects of same name then I cannot create a different chatter group for each. And also whenever I turn the checkbox from false to true in update it should check if there is chatter group created or not. Please help me. I have updated the code based on your suggestions can anyone tell me if its correct or not