Living in the city of the unknown
I show her off, I stunt with her,

from Kendrick Lamar – Alien Girl (Today With Her) Lyrics on Rap Genius

Being with this girl feels so good that its like living in the city of the unknown" where something good and unexpected keeps on happening to him. So he’s proud to “show her off” as his trophy and do anything i.e. “stunt” with her

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