The colors are not the same as the terminal labels. It’s why I show both the names in my diagram (to show what each terminal is in a device, and show the actual wire color for the wire.
Example: the G wire from your furnace is green and black. At the thermostat it is only green. In both places it is a G (fan) wire, until you run it through the C adapter. Then the C adapter turns it into a C wire.
The adapter’s terminals need to only be connected to the wyze’s thermostat wires, because it changes what the wires do in order to use the Y wire to control both the A/C compressor and fan, thus giving you an extra wire for C to travel to the thermostat on, without needing to run a new wire set. If you connect the wires that run to the A/C compressor to the adapter’s terminals, and not to the ribbon cable side of things, then your outdoor A/C compressor will see the fan signal as a call for cooling, and it will run when you have the heat on.
Cap 1 is C, because it has a brown wire coming from the furnace board that is labeled C in it. The red wire that goes to the A/C compressor does not make it into a R wire, it it just a C wire that happens to be red.
And looking at your new picture, I can see a new detail that might result in you not needing to use the C adapter at all.
Look behind your current thermostat. Do you see a blue wire?