For auto Rotate you might need packages which are not installed by default. Touch Screen should work out of the box. I have more experience in Manjaro Linux where you can try Wayfire Edition and add sensor detection app to make auto rotate work.
This needs some basic linux skill and time for testing. So don’t get your hope high
Link to autorotate package and command
You may try Manjaro Wayfire Edition and enable autorotate and see if that works on a liveUSB without the need on installing it on the Device.
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Thanks.