Texas Dram Shop Law does allow the intoxicated driver, along with any third parties injured by the intoxicated driver, to recover from the serving establishment.
Also, Texas is a so-called "50+" state. A plaintiff is barred from any recovery if the jury apportions 51% or more responsibility to the plaintiff.
For WuLawHorn and any other nerdy law sorts (like myself), the Texas Dram Shop Act is a hot topic of debate in the current legislative session in Austin, as lawmakers decide how to handle the controversial Duenez case, which permits the jury to consider the responsibility of the intoxicated driver separately from that of the serving establishment. The plaintiff's bar would prefer, conversely, for the serving establishment to be, effectively, vicariously liable for the acts of the intoxicated driver.