How do individual soundwaves retain their integrity/coherency while traveling simultaneously on the way to the ear?

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When I walk down a city street, there are tons of sound waves assaulting my ears.

How does the brain sort out the soundwaves emitted from a police siren vs. the soundwaves from a honking horn?

What happens when the police siren soundwaves collide with the honking horn soundwaves? Don’t they tangle together as they travel through the air on their way to the ears?

Is it a physical property of soundwaves to stay discreet or is it a function of the brain’s processing to untangle them before making sense of them?

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