Thanks for reaching out to the Google Nest Community Forum. I'd love to help!
It appears that you have a heat pump system that is Nest-compatible based on your existing thermostat's wiring setup. Please be sure to follow the correct configuration to avoid power issues. Also, there's no need for you to use the jumper wire, as Nest thermostat displays have one built-in.
Feel free to let us know if you have more questions in mind.