F57 Oil change in between yes no?

Hello everyone, I would like to have an opinion of the Bubble: I have been driving an F57 (2.0, 192 hp) from 1st hand for 6 months, BJ 7/2019, KM-Stand 15450, I bought it with 9800 KM. Last oil change “in between” had been carried out at 8400 KM by the previous owner in specialized workshop. Night service would be due in 21,000 KM or 5/2023. The thing has included a service plan contract until 06/2014. Per year I may drive a maximum of 10,000 km. Now I have thought, I give him a in the change of oil and filter, since it is still something up to 5/24? Couldn’t hurt me. Here in Berlin asked: At the BMW Mini branch Berlin the change of oil and filter should cost 523,xx €. (I listened correctly and asked again, the sum is correct…) At BMW N**zg**, 400 meters further you would like for the change of oil and filter 324,xx €. What should I do in your opinion: Wait until 5/23, until the service is due, he is “paid” so to speak already… in the BMW/Mini specialist workshop in between? With the box in a service chain (*TU) or elsewhere (free workshop) drive and let it be done? Or just let nothing be done and continue until the service interval is due? In advance, thank you for your opinions. With many regards from Berlin to you…