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Uber to the nearest Dart train station Inwood/Love Field.
I think it would be less than $10.
Then $3 on Dart train Orange Line the rest of the way.
Or a dart bus will get you from Love Field to the Dart station (included in the $3) as someone mentioned above.
But I hate buses.
The Dart train will take you to DFW Terminal A.
Check-in through security at Terminal A (have to walk 5 min for TSA Precheck).
Then take the SkyTrain (post-security) to your Terminal.