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Lets start with the Year and model of your VW. I don't see that information here.
While I am waiting for vehicle info, let me suggest this. Code P0341 is typically a Camshaft Position Sensor code, not a Crankshaft Position Sensor code. Have they replaced the correct part?
I will check in with you tomorrow. Having the specific vehicle information will help me guide you through the repair process or help in identifying common issues or other specific details about this problem on your car. Thank you for your inquiry.