Thanks! Vertical axis seems to be the easiest and... obvious way

But the size (and the weight) does not look good, especially for plasma. So I tried to find a more exquisite way first.
Meanwhile, progress so far.
I was not sure if all the angles are available for the torch, in the previous design. So repeated the college Math and wrote the program to calculate the angles available for the torch (3 is for 30 deg, 4 for 45 degrees). There is a huge gap in the angles available for the torch, so this design is flawed (for example it can draw a circle with 45 degrees bevel, but can't with 30 degrees).
Spent a couple of hours to draw all the ideas I can imagine, including some really stupid. Then run the program for all of them. Some of them should work, though.
Returning to the general idea with a vertical axis.