So there's like no special word for my style I should be aware of?
I didn't say that. I said "unique" isn't an art style.
Why do you need a "single term" for this? A single term can't capture the details. Instead, why not describe its features? For example, you could say "flat black silhouette images on soft colored backgrounds." You could also say it's reminiscent of Goo or Feist, but more mechanical.
More importantly, when you present the game show a screenshot. That's worth a thousand words. (or 1024 words if you're a programmer.)