There are only a few reasons that the camera would keep going on about connection to your network
1 Wifi to camera not good enough to keep it connected or router glitching (Reboot Router)
2 Power to Camera is not good enough... This might be caused by a Failing Transformer or bad wiring... This could be also a bad connection in the wiring...
There is a lot that is going on with these cameras. It could be that the camera is bad? It could be that the Caps they have in the system as Super caps are not good and don't store enough power to keep the camera running...
If you want to test if your camera has Bad capacitors (Caps) and this might not work if your system had bad wiring... So you take your camera and remove it from power right after it makes the message that it has connected to network and it should take any where form 40 seconds to over a minute for the Blue lights to turn off.. Infact if you press the button it should have enough power to send you the alert and even make a connection between the phone and camera for a few seconds before full power loss... If it goes out in less then 20 seconds and not even able to push button to send to your smart home app then there is a Cap issue and should seek a RMA...
I will go test mine again and see how long it takes to shut down after power is removed from the system... I am also going to meter the power needed to charge it back up to the point that the camera restores connection.. I do know that under static use the Power use is really low.. So a 30va transformer for most home doorbell systems should be more then enough unless they have large doorbell chimes that require that much then go with a 45va...
Will report back after I do my testing.. I am going to need some time because I am going to also go do a Factory Reset and have it set it all back up Yay what fun I shall have

Be Safe.