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Brad Pitt Not Dating at All ... Alia Shawkat a Good Friend

Brad Pitt relationship rumors -- including the one about his recent concert date, Alia Shawkat -- can be put to bed because there's NO lucky lady ... not even one.

Sources close to the Oscar winner tell TMZ ... he doesn't feel any need to get back on the dating scene right now -- his focus is elsewhere. We're told he's much more involved in his kids' lives these days, so that's where most of his time and effort goes ... followed by work and his sobriety.

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We broke the story ... Brad went to a Thundercat show at The Wiltern in L.A. Saturday night with a "mystery woman" we later learned was the "Arrested Development" star, Alia. The outing was nothing new for them either -- they've been going to concerts, comedy shows, museums and galleries together for months.

Our sources say despite the frequent sightings, they're not romantic ... it's strictly platonic.

As we've reported ... the "not dating" tag goes for Pitt and Jennifer Aniston as well. Though there was a frenzy when the ex-couple shared a warm embrace at the SAG Awards -- and they hit up the same award season parties -- the consensus is ... they're still just friends.

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