Should I fix the standard chime before installing Eufy?

I am considering purchasing a Eufy Video Doorbell. I know that it comes with its own chime. My current doorbell setup has a standard electro-mechanical chime, which does not work. (The relay is rusted) I actually already have a replacement for it, but should I even bother? In my particular setup, the 22VAC transformer is right near the door and very easily accessible. If the old chime isn’t used much, should I just bypass it and go straight from the transformer to the Eufy Video Doorbell?