It was interesting to listen to, and I don’t think your pronunciation is bad at all. In fact, while there clearly is a Russian accent, the pronunciation is understandable and reminds me of what I hear from professional translators on the news. I would probably recommend, if you want to further refine your accent, and sound more American -like or whatever, that you select a much simpler text to use and read from. When I listened to the recording, I wasn’t as much distracted or bothered by the accent as by the content of the text you were reading from and trying to understand what the text meant. I know it’s a text from Nietzsche, but it’s fairly complicated and uses rather unusual phrases that one rarely hears. So, I’d just pick a simpler text, maybe a newspaper article (a short one) from The New York Times for example and record by reading from it. I think then the listener can listen more to the speech and not be distracted by a complicated piece of writing. But overall, I’d say your off to a good start and would encourage you to keep at it. You’re doing well.
Pronunciation is pretty hard to correct or comment on on a board like this, and really requires a speech coach, in your case one familiar with the differences between the sounds of Russian and English, to refine. You have to read and maybe be shown how sounds differ between the languages to improve pronunciation, and this somewhat exceeds the scope of traditional language teaching. But, overall I’d say you did well. Half the work is getting the courage and motivation up to do something. And you’ve surely got that.