The new photos do show slight crenations of the leaf margins, this is the "most reduced" variation on teeth margin, so I will update the list of KEY TRAITS
Key Traits =
opposite leaves
very slight toothed margins - crenated, almost absent in some leaves.
bark with lenticels
Flowering quince and Chinese quince - not possible, because the quince has alternate leaves, the plant in question has opposite leaves.
Camellia - not possible, Camellia has alternate leaves.
Euonymus - is still a possibility as they have opposite leaves and some have very reduced teeth on their margins.
Punica - pomegranate - Do have opposite leaves. The "look" is wrong in my opinion, but mature summer leaves might provide a better clue.
Texas Persimmon - has alternate leaves, the tree in question has opposite leaves. So not possible.
I was thinking about opposite leaf landscape shrubs, maybe something in the Rubiaceae, the family that includes Cinchona (the anti-malaria drug source), Gardenia, Ixora, Nauclea, Psychotria (the DMT donor for Yage), Randina, & Serissa, - but honestly, I am pretty certain it is not of the genera I listed. There are a couple native to Texas Rubiaceae that I am not familiar with, it could be one of them. Or it is not in the Rubiaceae family. Just fishing for ideas.