Android LOL Support Possibilities

I was looking for a way to play League of legends on my new galaxy note8 on the go. I have the samsung dex station for my phone which basically turns my phone into a computer. Being as the note8 is a powerhouse it is perfectly capable but I can't find the means of actually doing it. Any suggestions? Yes I know not best idea but I'd like to. No I don't need to buy a computer as I have a desktop and a laptop. This is more for the aspect of just being able to with a smartphone and a monitor connected to it.
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