It appears that you have a few separate problems. First is the uplink bandwidth. If you see a specified bandwidth, it most times is a peak. So you can be with 50kbps on average, or you can be in trouble. I can't tell, but in many cases having more devices the peak spreads out over time over the devices. In this case, as all users will be using the same application, it may be an issue, but unless you have better data or experience, you can't answer this one.
Then the wifi part. I would say if you have 200 concurrent users in a single room, it makes sense to get a wifi engineer to do a proper design. The numbers you provide for 300 Mbps bandwidth are maximum values that you won't reach in practice. For 2.4 GHz it assumes you have enabled 40MHz channels which is not possible with multiple APs in the same room, and the 300 becomes 150. Then that is a raw value and under good conditions, you may get half of that as radio capacity. So if you are lucky you can achieve 75Mbps on 2.4GHz and 150Mbps on 5GHz. For your game that is enough with one AP as your bandwidth is only 10Mbps.
Then, while the AP can have 255 concurrent sessions per radio, which in software in the default setting is limited to 64 per radio (128 per AP), you should avoid getting to those numbers for proper performance. This is where the design comes in, as putting 8 APs in a single room might result in lots of interference and poor performance as a result of that. For the 105, I would try to stay below 30 (max 40) concurrent clients, which would bring you to 7 APs. You can't, however, have 7 APs on unique channels on 2.4 as there are only 3 (or 4 depending on where you are in the world). If you have better APs, the client count per AP without performance drop may be higher.
I would expect poor performance with just the 2 APs based on the number of concurrent clients. A local wifi engineer should based on the right question be able to give you better advice.
If the game supplier can provide you with better numbers on required bandwidth, or if you try to use the game and measure it yourself, that could give you some better guidance. There are too many unknowns at the moment.