Riding a horse through Mongolia

Hello! I'm planning to travel to Mongolia with a friend of mine in September. The current plan is to buy horses there, travel through the steppes for about 3 weeks, and then head back home. Since we would like to have a slightly larger group (ideally around 4 people) for this crazy trip, we are looking for people who would also like to join something like this. The plan might sound a bit crazy, but we are both quite experienced when it comes to such trips and are also determined to do it. More about us: we both come from Poland, I've been living in Germany for a few years and work as a doctor, my friend works as a physiotherapist and still lives in Poland. Together, we have already undertaken, for example, a cycling trip around Crimea, and we are both about 33 years old. We like to laugh and love spending our free time with any kind of sport. Since we don't want to travel completely blind, we would like to meet every interested person in person to get to know each other and also do some sports (including horse riding) together. We want to make sure we can stand each other for 3 weeks ;) I am happy to provide more details if you're interested. Many things are still to be agreed upon, and we are also very flexible. The only thing that unfortunately cannot be changed is the month we want to travel (this is due, among other things, to the weather conditions). I will be very happy to receive any message!