Taylor Swift & Travis Kelce Attend Coachella

Taylor Swift

Taylor Swift and Travis Kelce made a surprise appearance at Coachella Saturday night ... getting cozy backstage while showing support for Tay's Collaborators.

The couple was spotted backstage hugging and dancing while friend Jack Antonoff's band Bleachers performed.

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Traylor also showed support for Tay's "Karma" collaborator Ice Spice during her Coachella performance.

As you can see, Taylor's recent tour opener and Friday Coachella performer Sabrina Carpenter and her "Saltburn" actor BF Barry Keoghan were also in the crowd ... as well as one-time T-Swift foe and BFF Selena Gomez's Ex Justin Bieber.

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As we previously reported ... Taylor…