So yeah, TX is not the gun haven you might think it is. Because of binding signage a LOT of places you cannot carry including most malls, Ikea, etc.
Bonding signage evolved over time.
It was not addressed in the original carry permit law, so some creative TX apparatachik decided that violation of a sign was "armed criminal trespass" (a non-trivial crime in TX)
The TX legislature "fixed" that by making it a separate offense to violate a sign (large, bilingual, 1" font, specific wording, posted at all public entrances)
And, the lastchange gave us....
Leaving when ordered to by the person in control of the property is a codified defense to the violation of the binding sign law in TX. So it's really a "keep it hidden" law.
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Constitutional carry has a trap - the federal gun ree school zones act bans carry within 1000ft of a school unless you have a permit from the state allowing such carry. In states like TX, that means there is a real benefit to a TX carry permit. Being in a state where a permit is not required is not some sort of "virtual permit", and there have been successful prosecutions with multi-year sentences under the GFSZ act for carry that is not a state crime. I at least one case, it was someone considered "suspicious" that they police "Wanted to get" because he parked watching a school for hours in TC.
If a state has reciprocity with other states, it would likely cover the federal exemption requirement - but I do not know how that would work for a state that has reciprocity on the bookx bus has went con carry.