Welcome to the Forum, @larryquakkelaar! 
I haven’t seen anything about when Wi-Fi Chime will be available again, but I know that’s been a problem. It was out of stock when I checked three weeks ago:
If your “new video doorbell” is the Battery Video Doorbell and you have compatible Wyze Cams, then you can use those as accessory chimes. I’m also using both Amazon Echo and Google Home smart speakers to receive person detections (with a subscription) from my Battery Video Doorbell, so potentially that’s another option for you for now. (My actual doorbell ring from a button press comes from Cams used as accessory chimes and from the home’s built-in mechanical chime because I have my doorbell wired.)