Hello Uwe
In general one has to note that there are differences in quality. What you tried is not wrong but I would suggest going into a sport job and get some cooling spray. It’s mainly used in football.
You can test it regarding the surface compatibility and then use it for the cooling process but don’t forget fresh air... as an alternative you can also use a continuous jet of compressed air.
Plastics (like Plexiglas) always want to be machined with sharp tools. What also works would be having a cut break.
Therefore drive 5mm short hold and then continue – in that way the chip can break and fly away...
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