Welcome to the Forum, @kidchuckle! 
I’m gonna start by saying that I do not have any hands-on experience with Duo Cam Doorbell, but I’ve done extensive troubleshooting with my own Video Doorbell v2, which is a wired-only (no battery) doorbell. I’m also not an electrician, but I feel comfortable doing some DIY electrical things.
I’m confused by a couple of your statements:
I’m not quite sure what you mean, because those seem to directly contradict one another. What additional detail can you provide to clarify what you’re experiencing?
Also, knowing the answers to some of these might be helpful:
- What did Wyze Support say when you contacted them?
- What’s your transformer rating?
- What’s your transformer’s actual output? In other words, have you tested with a multimeter? If so, then where/what have you tested, and what were the results?
- Your mention of disconnecting your rear doorbell makes me think you have a chime box with FRONT, TRANS, and REAR screw terminals. Is that correct? If so, then do you want to be able to have both doorbells connected and able to ring your home’s built-in chime?
- Have you considered installing a Chime Controller? That’s something I’d consider installing if I had a wired rear doorbell and wanted to reconnect it but not have it buzz. If you correctly install one of those to the FRONT and TRANS terminals instead of the jumper wire, then I would expect that to solve the buzzing issue and allow both doorbells to ring your home’s chime.
- Are you certain that your chime box was wired correctly before you started? If you’re dealing with FRONT, TRANS, and REAR terminals and had regular “dumb” doorbells that were working before you ever installed Duo Cam Doorbell and wired it into your system, then I would guess that it is, but it’s something else I’d want to check just because of my own experience.
If you can answer some or all of those questions, then that might help others in the community get a better handle on your situation and provide some guidance.