Thanks for the ideas! Sentio I already tried before I had the HDMI adapter, and it seemed too buggy to me. I would constantly get in and out of the "Sentio View" and in general it seemed to work pretty badly. As for the adb shell, if anyone is curious: you don't actually need to access it externally, with root & termux and the right command on stackoverflow (it is quite lengthy but it exists) you can actually launch into the real full-blown system/adb shell right on the device itself! Pretty useful to poke around the internals without external help
Tasker sounds very interesting, I'll take a look!
Edit: also another note regarding Sentio, I am actually quite happy with side by side even in Desktop use. I think it's not a bad paradigm. Just the huge fonts is what bothers me (or on the other end, using tiny fonts also in mobile mode when I'm using it on the run with internal screen, because I picked them for external HDMI screen use)