No green wire grounding on Floodlight Pro Plus

I had an original First generation Floodlight but after 4 years it started flickering when motion was detected. I shut off the lights and lowered the sensitivity which helped. I could still see with night vision and the unit was operational. I called and reviewed and was offered the new plus floodlight with a 35% discount. I went to install today but the new plate has no screw marled grounding wire. I only have the white and black wires. I was sent a link from Ring but it doesn’t address this green wire and what to do with it. I went to Home Depot and told to try to wrap it around the metal bracket which I couldn’t. He said you don’t really need it. I installed it and it works but concerned about this. Is this safe? Concerned about a fire