I can’t speak from experience as I don’t own any Amazon devices, but I have read reports that it seems to work fine with the FireTV variant of Android.
The dev has only tested it against Chromecast with Google TV, with that said I’m using it on a Shield TV and a Shield Pro and it runs fine on both.
I don’t have enough superlatives for it. I’m > 300 hours in between three characters, and I’m still finding new stuff to do. Even at full price, worth every penny. Also an amazing co-op experience - played through the whole campaign with a friend, we both agreed it’s probably one of the best games we’ve ever played, period.
It’s also the first game of this genre that I’ve played, off the back of this I also picked up BG1 & 2, and Neverwinter Nights, which I’m excited to try out to see what I missed out on back in the day.