Here's the TX law regarding criminal homicides.
https://statutes.capitol.texas.gov/Docs/PE/htm/PE.19.htm
It does appear to say that if the act was intentional then it is murder and it does not fit the definition of manslaughter or negligent homicide.
There are two "levels" of "murder"
in terms of punishment. It's possible to reduce it from a first degree felony to a second degree felony if there are circumstances under which the murderer would reasonably be enraged or afraid.
There is also an offense called "capital murder. It is pretty obviously not applicable to this case. It has more to do with who is killed and/or extenuating circumstances of the killing than to do with the intent of the killer. It covers things like murdering LEOs or on duty firemen, children, murder during sexual assault/kidnapping/robbery/burglary/etc., murder while escaping from a correctional facility, inmates murdering correctional facility employees/guards, murder for hire, multiple murders, and so forth.