Be patient. They will respond, but it may take some time for them to work through other customers before they get to your ticket. They may have an increase in tickets right now due to stuff like dead pixels in the LE, some OLED screens being grainy, and the 200/1040 GPU bug that some are currently experiencing.
Looks like you might have the 200/1040 GPU bug. In your screenshot your GPU is setting at 1040, if it bounces between 200 and 1040 in that overlay, that would be the issue.
You can try manually setting the GPU clock speed in the QAM (… Button). This has helped some, but doesn’t always fix the issue for everyone. To fully resolve it you will have to wait for Valve to release a fix.
If you are on 3.5.5 or 3.5.7 firmware, then you may be experiencing the 200/1040 GPU bug. Turn on the overlay on one of the last two options and keep an eye on the GPU frequency to see if it is indeed stuck at 200 and 1040.
You can check your battery health in desktop mode. You could check there and see if it says the battery is bad or not.
Have you tried opening it up and making sure there are no loose connections? Loose connections can cause some weird issues to pop up sometimes.
I’ve also heard some people say putting the deck into storage mode can fix some battery issues as well.
Here is a link to a guide on how to enter storage mode. https://www.ifixit.com/Guide/How+to+Enable+Battery+Storage+Mode/149962