Streaming Android screen to YouTube, Twitch etc
I figured out. The Omlet Arcade
app works like a charm.
It even supports internal audio streaming, but only from Android 10 which supports it itself.

In case anyone has the same use case as me - drawing - then the app I use for collaborative drawing is Aggie.io, and for stylus-on-tablet drawing I use Lenovo NoteSaver, which one of the few apps which supports the drawing pad.