ROMANCE SPOILER FOR B1 AND B2
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I'm not certain about a 'poly' route, however you can attract all three at the same time and have them battle over you without much of a problem (though I think in B3 we have to choose a route- however, I may be ill informed).
Don't romance Sydeko at all in the first book, Rahim will not like it. Instead, rack up as many Chris romance points as you can to combat any lost points you get from hitting on Rahim in B2. From there flirt with Zillah, Rahim and Chris at the same time, collect all of their points with help from the guide if needed.
Don't sleep with any of the flings and don't flirt with them in front of Chris either. He's very sensitive. Zillah doesn't mind at all, he kind of finds it funny in regards to Chris but he's salty at Rahim.
Then voila you have successfully seduced the group and get some interesting tidbits. I have only ever played as a female!Roe, so I'm not certain about how it would go for a male, or non-binary.