Switch keeps shutting off while playing docked

As stated in the title, my 2019 Switch keeps shutting down/turning itself off into sleep mode while playing docked and I am running out of ideas in what might cause the problem. So far I have…

-changed the hdmi cable I use (both I tried are original Nintendo ones)

-changed the hdmi input I use

-turned on & off “match TV power state” (it’s currently turned off)

-tried every possible TV resolution and RGB range settings (with 720p it flickered before turning off, with automatic & 1080p it shuts down without the video flickering)

-tried a different dock

After switching the dock, I managed to play for ~30min before the console turned itself off (with the other dock it shut down after 5min). Since one controller is already unable to function without being connected to the console I am starting to fear that this could just be the begging of the end, so I really appreciate any ideas on how to solve this (even if it’s the harsh truth of replaying the switch). Thank you :)!