Vehicle measurement – 24 km/h too fast

Hi, the topic is a bit OT, but I ask the question anyway. Had an unpleasant experience last Sunday, we were on the road with a couple of friends (320 BMW over the weekend rented and tested 😉 ) A friend of mine was at the wheel, we exceeded the permissible speed on the city highway and were stopped by a civilian patrol. The two policemen were relatively friendly and explained everything to us in detail. The policemen are some k The driver now threatens her first point and 50 Eur Bussgeld. What surprised me about the fact that there was no video camera installed in the measuring car, i.e. the measuring device only prints out a document and the two policemen are considered witnesses. We were assigned. The driver did not admit the violation. Sow question: is it worth doing something in this case? We have overtaken many vehicles, can you call for confusion? A video recording is not available, what is the evidence of the statement of the policemen (we were four as I said)? MfG Alexej