Hello, this should be the trouble shooting manual for that thermostat.
I still have to confirm that with you however, Bryant used several different variations.
Its difficult with no error codes showing, if you call the dealer it will be difficult for them also in this case, most will resort to first replacing the thermostat, then if that fails they will replace the printed circuit board inside the furnace/air handler... that will be expensive.
If you are handy you can do this heat stress test on the printed circuit card that the thermostat wires attach to inside the furnace air handler.
Use a hair drier to slowly warm the printed circuit card up to120F or a bit warmer, but not over 140F... if there is any change in the error codes or other furnace behavior... the card has a cracked micro circuit that opens and closes as the card expands and contracts... that proves a bad printed circuit card.
No change however does not prove the card is good however... but a change proves the card is definitely bad.
The problem is either with the thermostat micro processor or the printed circuit board it is wired to inside the furnace/ air handler.
Let me know how that goes.