Hello, This will end up being a lot more than a simple 'just answer' covers, it will get into some engineering issues, depending on the furnace model number and what features are involved such as humidification, dehumidification and variable speed blower type.
Please attach a well focused, close up photo of the wiring diagram glued inside the furnace or air handler blower service panel, and a photo of the bryant control panel with door open and the wiring diagram exposed, you can use the paper clipicon at the right end of the toolbar at the top of this dialog box,Include a picture of the thermostat wire connections to the printed circuit board in the same area.
If there is no paper clip_ icon, look for the '+attach files' link at left of your send button.
I can mark it up with trouble shooting instructions. You will need a multi meter ($30 at a hardware store) and some experience working with appliances, let me know a lot about your skill sets in those regards.
I will take a look at it and then most likely submit an additional services offer to do the electrical engineering if I think the project is viable. or make some other recommendation.
We can go from there.