Sombr says he's officially made it in Hollywood ... because his music got a stamp of approval from the person he sees as the greatest living artist ... Taylor Swift .

We got Sombr at Nine Orchard in New York City on Friday and our photog asked him about the emotions of getting a shoutout from Taylor herself. Getty

In a recent interview, Taylor revealed that she had been listening to Sombr's music.

Sombr says he lost his mind when he heard Taylor was a fan of his ... and he tells us it's definitely a "Mama, I made it" moment. Gallery Launch Gallery Getty

Sounds like Taylor hasn't reached out to Sombr beyond highlighting his work in the media ... but he's got a message for her and her fiance, NFL star Travis Kelce , here ... and it seems he's got no problem playing thi

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