public bool RemoveItem( 
   IProjectItem item
)

{
  // Remove a folder connection from a project; the folder stored on the local disk 
  // or the network is not deleted

  //Note: Needs QueuedTask to run
  {
    bool result = false;
    FolderConnectionProjectItem folderToRemove = Project.Current.GetItems<FolderConnectionProjectItem>()
      .FirstOrDefault(folder => folder.Name.Equals("Data"));
    if (folderToRemove != null)
      result = Project.Current.RemoveItem(folderToRemove as IProjectItem);
    // use result
  }
}

{
  // Remove a map from a project; the map is deleted
  IProjectItem mapToRemove = Project.Current.GetItems<MapProjectItem>().FirstOrDefault(map => map.Name.Equals("OldStreetRoutes"));
  // Note: Needs QueuedTask to run
  var removedMapProjectItemResult = Project.Current.RemoveItem(mapToRemove);
  // Use removedMapProjectItemResult
}

{
  // Remove a folder connection from a project; the folder stored on the local disk or the network is not deleted
  FolderConnectionProjectItem folderToRemove = Project.Current.GetItems<FolderConnectionProjectItem>().FirstOrDefault(myfolder => myfolder.Name.Equals("PlantSpecies"));
  if (folderToRemove != null)
    Project.Current.RemoveItem(folderToRemove as IProjectItem);
}

{
  //Remove a layout project item.
  //Remove the layout from the project
  //Note: Needs QueuedTask to run
  Project.Current.RemoveItem(layoutItem);
}

{
  //Note: Call within QueuedTask.Run()
  //Reference a ReportProjectItem in a project by name
  ReportProjectItem reportItem = Project.Current.GetItems<ReportProjectItem>().FirstOrDefault(item => item.Name.Equals(reportName));
  if (reportItem != null)
    //Delete the report from the project
    Project.Current.RemoveItem(reportItem);
}

{
  //Create a new GDB item and add it to the project
  if (ItemFactory.Instance.Create(newGDDItemPath) is not IProjectItem newGDBItem)
  {
    // could not create the item
    return;
  }
  var success = Project.Current.AddItem(newGDBItem);
  //make the newly added GDB item the default
  if (success)
    Project.Current.SetDefaultGeoDatabasePath(newGDDItemPath);
  //Now remove the old item
  if (Project.Current.GetItems<Item>().FirstOrDefault(i => i.Path == oldGDBItemPath) is not IProjectItem oldGDBItem)
  {
    // could not find the item
    return;
  }
  var removeSuccess = Project.Current.RemoveItem(oldGDBItem);
}