All of the pine species of Pinus subsection Pinus which includes P. thunbergii, resinosa, densiflora, nigra, mugo and others for a total 19 species plus all 7 species of the subsection Pineaster, which includes Pinus pinea and halepensis all have 2 needles. All would thrive just fine in Texas. There are an additional half dozen 2 needle pines from other subsections of the Pinus genus, so the list of suspects is long.
Better photos of the buds, taken from the side would help. It might not be possible to really sort out just which pine this is until it is old enough to produce a pine cone or two, as the arrangement of prickles on the scales of the pine cones is diagnostic to species.
So one can guess, but until the tree produces cones, one might not know for certain.