Properly mute connected phone

[Gusstler]

I would like that all incomming calls and alarms only vibrate on my watch and do NOT sound or vibrate my phone. How can I do this? 

The function "Mute connected phone" does not achieve this. It only mutes notifications on the phone. But alarms and calls still sound/vibrate on the phone.

Basically I want the phone to just play media, no other sounds. 

[Dolphisun]

Download Sound assistant you can take the settings there

[GameBooth]

Which watch are you using? I have my phone permanently set to Silent profile and just my alarms on the watch, meaning all calls, notifications and alarms are on the watch.
If you're on a Galaxy Watch, try that..?