Are there non-Ring doorbells that do push notification to your phone instead of ringing in the house? I have nervous cats.

@Ashedryden Someone already suggested Reolink as I was inclined to suggest. I do want to add that most Reolink devices can work with Home Assistant, so that's a good plus.

I don't want to support Ring, but for what it's worth, you can get "chimes" to add to it and then disconnect it from the ringer. My house didn't have a ringer and rather than deal with installing one I just did that sort of thing over the years. The "Chimes" can be configured on how they sound, including various sounds and volume level and just not even placed where not needed. I would assume there is an equivalent among non-Ring devices as well. The advantage of this is you could find something that doesn't worry the cats. Perhaps this gives you a second possibility to widen your choices.