The Greet should ring the original chime by default.
However, the Greet is unfortunately ONLY compatible with standard mechanical chimes.
Looking at the picture that you included, your chime supports power by battery, meaning that it is a digital or electronic chime.
I’m sorry, but the greet won’t work with your chime. Also, leaving the chime bypassed long term will damage the greet. You will need to add in a resistor if you plan to continue to bypass the chime. the resistor should be 10ohm 20watt.