I got a Sonoff RF gateway and flashed it with Tasmota. Now all the normal 433Mhz devices work 'as is'. My doorbell is unchanged, a 3 year battery life and costs 10 bucks.
The doorbell sound does ring on a custom device. An esp32 with an I2S class D amplifier that can play an an arbitrary mp3 from a web server with an mqtt command: