Doorbell 2 and Power Supply

Hello I have Doorbell 2 (it runs on battery) it is not connected to a chime or any other device, very blond just the Ring Doorbell 2 at the entrance of my door, I´m not happy with the battery life, (need to be charge every 5 weeks) then I live in Sweden and not much sun during this time of year then not suitable to have the Solar charger, I want to hardwire it with a Power Supply. Questions: 1.- Which Power Supply can I use for the Doorbell 2? 2.- Does Ring have a Power Supply in their assortment? 3.- Can i use the Power Supply from ring called: Plug-In Adapter for Ring Video Doorbell Pro Model: DLA2420D-EU that the output is 24VAC 20VA  https://se-en.ring.com/collections/accessories/products/plug-in-adapter-for-ring-video-doorbell-pro 4.- If the answer of the Point 3 is Yes, then this one say that is have Shot Circuit Protected, my main question is do I need to use the wirewound resistor? (as I said the Doorbell is not connected to any chime or another device)  I hope someone can guide me here please! Mario