Spotlight cam solar (with barrel plug) in cold weather

does anyone know which plug in accessory will work with my spotlight cam solar?? its been very cold here (5 degrees and below during the day) and the batteries just wont hold up and i'd like to convert it to use the household power. i found this adapter https://ring.com/products/indoor-outdoor-power-adapter-barrel-plug but i'm not sure if it will work with the camera i have, i would also like to know if this will power the camera or just charge the batteries or even cure my problem when its cold out. if this wont work does anyone know if there is such an adapter?? thank you for any help!