Doorbell Humming noise

The mechanical doorbell attached to my wired ring doorbell has started making a loud humming noise after 2 years. I have disconnected the trans and rear wires from the doorbell to stop the noise. But this stops the power to the ring doorbell as well. When I googled to check how to resolve the issue, I can across ring doorbell power kit 2. I didn’t have the ring power kit to fit in my existing mechanical doorbell. Is this required and will help the humming noise ? Another option seems to be to add some resistance between the trans and rear connections ? Can the diode which came with the ring doorbell be used as a resistor ? Please advise.