Hi Elderzz. I was just about to post the same problem. Doing some searching, I found that I had a problem with dnsapi.dll. This was observed by the feedback provided when trying to install the air component.
To fix, go to configure, wine, configure wine, then move to the libraries tab. Click on the dnsapi entry, click edit, then switch to builtin.
This allowed me to install the air component and run League.
Now I have to figure out why sound isn't working, but I think there's a good amount out there on that problem too and it shouldn't be related to this.
For reference, I'm running the current version of Antergos.