Very small 4 axis mill for cutting plastic materials

This is what i was doing last few days, a very small 4 axis cnc machine for cutting some kind of plastic material for clear teeth aligners, machine is fully finished (except a box for electronics and cutting the protruding HGR25 rail to size).
-The machine kinematics are simple XYZC.
-The mill bit is angled at 35 degrees from table, can be changed to 90 or any other angle
-the C axis can spin freely both directions and has a home switch, with limits at+-99999 in ini only
-table/C axis is designed in FreeCAD and 3D printed, with 120 tooth HTD3 pulley included


Below is what i have to work with:
-the file generated from their software is a simple text file (.pts extension) with values for 3 axis, BUT has no axis assignments at all, only numbers, so with a bit of help from Gemini a filter was made to open the .pts file and assign axis letters together with Feed rate and M2, all that works fine
-also made a filter that adds the fourth axis that also seems to work, but not as required by this task, C does move small amounts to account for the tool cutting angle, but this requires rotating the C axis 360 degrees for a full job
-that job is always a single cut line, always same location of the material, always indexed on C, material shape does change but never significantly
-that is the only job this machine will do.

-
The machines used for this are 4 or 5 axis, always, and they use that same file type with 3 axis values, so the kinematics or CAM must do the required changes/modifications to path, and this is where i am stuck, so any ideas are welcomed.

Did anyone notice there is a question at the end?
-
Some random info running through my noggin :
-the rotational axis should do a full 360 degree to finish this
-the tool should remain always roughly normal to the teeth/cut plane
-i do not think this needs switchable kinematics
-pretty sure this needs TCP as the cut line is always 1mm under the material (also 1mm thick roughly)
-having a look through the included TRT configs right now ... well after i get back from the shop (nicotine level low), went to bed at 1AM got up at 2:10AM, way to much stuff going on last 3-4 days compounded by family health issues, but getting better so far.
Attached files in pts and gcode formats, compressed, the gcode has Y and Z axis values changed to reflect table orientation.

Thank you very much.
Attached are both filters for LinuxCNC, the normal 3 axis and the generated 4th axis noted in the file names inside the zip file, also require adding these two lines to the ini fileorAnd another try at explaining things, badly as usual, the attached 3D image has the blueish-green cut line that is the actual gcode, so the tool should be horizontally positioned to cut the line

partec wrote:

What exactly do you mean by that TCP?

TCP = Tool Center Piont, the kinematics that keep the tool positioned in the same place no matter how the axis/joints are moving (might not be the best explanation, i know)

partec wrote:

What exactly do you mean by that TRT?

LinuxCNC comes with several 5 axis TCP-TRT simulated configs that also have a Vismach visualization screen/window where the machine can be seen moving, makes things much easier to test.
On the LinuxCNC configuration selecotr, go to sample configurations>sim>axis>vismach>5axis>table-rotary-tilting and choose one of the two configs to run.

partec wrote:

Surely you also have an envelope file (stp or similar)?

Yes, an STL 3D model as shown in the picture above.
Again, thank you very much.