Riding a horse through Mongolia

Hi! I'm planning to travel to Mongolia in September with a friend of mine. The current plan is to buy horses there, travel through the steppes for about 3 weeks, and then head back home. Since we'd 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 do something like this. The plan might sound a bit crazy, but we are both quite experienced when it comes to such trips and are determined to do it. More about us: we both come from Poland, I've been living in Germany for a few years now, working as a doctor, my friend works as a physiotherapist and still lives in Poland. Together we have already done, for example, a cycling trip around Crimea, and both are around 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, anyone who is interested we would like to meet in person to get to know each other and also do some sports (including riding) together. We want to make sure we can stand each other for 3 weeks ;) I can give more details if you're interested. Many things still need 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!