How do I prevent a CharacterAdded loop with custom player models?

I'm trying to change players' character models on respawn via player.CharacterAdded, however, when players' character model changes it simply retriggers the function again leading to a loop error to occur (Maximum event re-entrancy depth exceeded for Player.CharacterAdded). How can I make newly respawned players change into a new model with a function without triggering the function to start again?

Here is what I had:

Players.PlayerAdded:Connect(function(player)
    player.CharacterAdded:Connect(function(character)
        local oldCharacter = player.Character
        local newCharacter = game.WorkSpace.PreloadedAssets.NewCharacter:Clone()

        newCharacter.HumanoidRootPart.Anchored = false
        newCharacter:SetPrimaryPartCFrame(oldCharacter.PrimaryPart.CFrame)

        player.Character = newCharacter
        newCharacter.Parent = game.Workspace
    end)
end)