Timing belt change YES/NO?

Hi dear community! We bought our RRS at the time at 175,000 km over a RR dealer. The car comes from first possession of a triple doctor and professor with a complete service booklet. The car looks like new today as at that time despite the 250,000 km. Apart from the service booklet there were still a stack of invoices to it. What we did not think of then is the timing belt because I thought that the RRS has a control chain. At the last service then asked me the friendly e if a timing belt has ever been changed here, since there is nothing registered in the service booklet. So my dealer called where I bought the car. He only said: With us the change costs with everything around the 4,000,- (working hour 180,-) for the reason many drive because the border to Germany nearby is to DE because there the works are supposed to cost about a third. Also the seller who is a regular customer and has bought a new RR, is to DE f He can’t confirm this in writing, but he can’t give me a phone number or an e-mail address for data protection reasons. However, he was so friendly to ask the seller by phone, he thinks he had the belt changed in DE, but unfortunately he has no more invoice for it. Now I was at 3 different RR dealers, and everyone thought he had been changed for sure because no RR 250,000 km managed without tearing. The Interv all is at 168.000km and there the timing belts are supposed to look like the friendly terrible, and you can’t imagine the 80,000km over it. I have already ordered all the parts for the change at lrdirect, but the installation is very expensive and expensive. If it turns out when the change is new, I get angry, but I tear it off even more. What do you think about it? Lg