You shoot to kill, which is well within your rights in Texas.
On the left coast, you just let them take your property or face jail and/or a lawsuit for violating the theif's rights.
Turns out you can only shoot to kill fleeing robbers in Texas if it is nighttime, and even then, only if a jury resolves a number of tricky factual issues in your favor. Otherwise you face jail and civil litigation for violating the thief's rights, just as if Texas were part of the civilized world.
Title 2 of the Texas Penal Code provides, in pertinent part:
Sec. 9.42. DEADLY FORCE TO PROTECT PROPERTY. A person is justified in using deadly force against another to protect land or tangible, movable property:
(1) if he would be justified in using force against the other under Section 9.41; and
(2) when and to the degree he reasonably believes the deadly force is immediately necessary:
(A) to prevent the other's imminent commission of arson, burglary, robbery, aggravated robbery, theft during the nighttime, or criminal mischief during the nighttime; or
(B) to prevent the other who is fleeing immediately after committing burglary, robbery, aggravated robbery, or theft during the nighttime from escaping with the property; and
(3) he reasonably believes that:
(A) the land or property cannot be protected or recovered by any other means; or
(B) the use of force other than deadly force to protect or recover the land or property would expose the actor or another to a substantial risk of death or serious bodily injury.