As I have found through many benchmark videos on youtube. Ryzen 2200g, and Intel 8100 have a big difference. Intel 8100 is slightly faster than 2200g, and it's a noticeable difference like 5 to 50fps depending on the game, but of course this depends on your graphics card too. Since you are going to get it in a month just go ahead and get Intel 8100. You should be able to wait just a month for the long term benefit.
The problem with Ryzen is you need faster ram like close to 3000mhz. 2200g supports up to 2993MHz, so you can get a 3000mhz and underclock it. however, 3000mhz rams are expensive. with Intel you should be fine with 2400mhz. in fact it's the recommended frequency. 2400mhz rams are cheap, hence you can buy 2 sticks and make a dual channel mode. Ryzen also has a problem with compatibility. If the RAM is not in the QVL of motherboard's support list, there is a high chance it may not work well with your motherboard. Ryzen 2200g is somewhat same as Pentium Gold g5400 in terms of performance. so it's not a good investment unless you don't plan to purchase a discrete graphics card. The purpose of Ryzen 2200g is allowing people to play games on APU, whereas i3 is for pairing with a discrete graphics card. So I highly recommend to get Core i3 8100 + 2400Mhz x2 sticks for dual channel + and if possible 1050 TI OC graphics card. OC version is slightly faster than stock one.