I suspect that removing the two words "the" and "new" or perhaps even just the word "new" from your original phrase: "Play the new Album The Modern Age by Sleeper" might also work.
I communicate with quite a few people around the world who use online translators to and from English in our correspondence. I frequently think carefully about how I am constructing a sentence to try and maximise the chance that the translator will not get confused.
I have the same problem where I cannot get Alexa to play the track. If a song title is the same as an album title Alexa will always play the album and not the song - there is no way to play the song directly.