Stick up camera plugged in yet battery goes dead

i have a stick up battery video camera, i have it plugged in to an outlet that only turns on when the outside lights turn on which is controlled by a timer. the lights turn on from 5pm to 8am every day. so essentially the camera is plugged in from 5pm to 8am every day and from 8 am to 5 pm it runs off the battery. my question is the battery keeps going dead in 2 to 3 weeks. i have it set up as a wired device in the app. doesnt the camera charge when it is hardwired in? i figured it would be like the solar panels they sell that keeps the battery charged. should i set it up as a battery device in the app?