The basic script did not work, so I asked ChatGPT for help - did not work either.
This is what GPT provided me with:

local groupId = 14807185
local minRankId = 5
local Folder = game.ServerStorage:WaitForChild("Test Fedora")

game.Players.PlayerAdded:Connect(function(plr)
	if plr:GetRankInGroup(groupId) >= minRankId then
		plr.CharacterAdded:Connect(function(char)
			plr.CharacterAppearanceLoaded:Wait()
			for _, accessory in pairs(Folder:GetChildren()) do
				if accessory:IsA("Accessory") then
					if accessory:FindFirstChild("Handle") then
						for _, att in pairs(accessory.Handle:GetChildren()) do
							if att:IsA("Attachment") then
								warn("Attachment Name: " .. att.Name)
							end
						end
					else 
						warn("No Handle")
					end
					plr.Character:WaitForChild("Humanoid"):AddAccessory(accessory)
				else
					warn("Not an attachment")
				end
			end
		end)
	end
end)

I still do not know what the case here is.