@Meit Normally for most mechanical chime kits, there is a connection from the chime kit to the transformer, and then there are two wires that go from the mechanical chime kit to the Ring Video Doorbell 2. This will mean that you need 4 wires in total, and would be putting the chime kit in the middle. Since all chime kits are different, as well as transformers, I recommend to get in contact with a local electrician to see if they can assist you with setting this up!
Please note that you will not need the Pro Power Kit, as this is something that is only needed for the Ring Video Doorbell Pro. Once you are in contact with an electrician, you can have them reference our Help Article that explains the setup of the Doorbell to the chime kit, and they should be able to help figure out how the connection from the chime kit to the transformer is! 