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Taylor Swift and Blake Lively may not be in a good place right now friendship-wise... but that didn't stop the actress from supporting the superstar's new album drop.

It's subtle, but it's there ... on Instagram, Blake gave Taylor a "like" in her Thursday post celebrating the release of "The Life of a Showgirl," where TS told fans ... “I can’t tell you how proud I am to share this with you, an album that just feels so right." Instagram / @taylorswift

The gesture seems minor ... but it's actually a pretty big deal since the one-time besties had an epic falling out over Blake's ongoing lawsuit against Justin Baldoni .

TMZ first reported that Taylor felt played -- and seriously pissed -- after texts surfaced where Blake called her one of her “dragons” and dubbed h

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